What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?

What Is The Equation Of The Line That Passes Through The Point (8,4) And Has A Slope Of 3/2 ?

Answers

Answer 1

Answer:

y = [tex]\frac{3}{2}[/tex] x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line

Answer 2

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Point-slope equation takes the form: y - b = m(x - a)

Where,

(8, 4) = (a, b), andm = 3/2

Substitute

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.

Also, we can rewrite in slope-intercept form as follows:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]

Open bracket

[tex]y - 4 = \frac{3}{2}x - 12[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

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Related Questions

By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices​

Answers

Answer:

34 edges

Step-by-step explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34

Which of the following sets couldn't represent the sides of a triangle?
A.(1,2,4)
B.(5,5,5)
C.(7,8,7)
D.(9,10,11)

Answers

Answer:

A

Step-by-step explanation:

Opposite sides are equal

i need help with this ^

Answers

Step-by-step explanation:

18.....................

I think it’s b or c but not sure what it is 100 percent. The options are in the picture there is 4 and it asks which it can not be

Answers

9514 1404 393

Answer:

  d.  tan(16°) = x/6

Step-by-step explanation:

You can use logic to figure this out, even if you don't know much trigonometry.

Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.

Choice D is the statement that CANNOT be used to find x.

Help me solve this problem please

Answers

Answer:

y= 2/3x+6

Step-by-step explanation:

if we multiply we can get the answer

12x+18 rewrite the expression using distributive property ​

Answers

Answer:

ab+ac=a(b+c)

a is a common factor

find the greatest common factor

12x+18

12x=2*2*3*x

18=2*3*3

GCF=2*3=6

12x+18=

6(2x)+6(3)=

6(2x+3)

Step-by-step explanation:

ILL GIVE BRAINLIST!! PLEASE HELP! Theres 2 answers!! ​

Answers

Answer:

Option B

Step-by-step explanation:

Well, now that I found out the prices per ounce, it has to be option B. Here is my reasoning:

Option A, when you do 2.98÷15.5, you get 0.19225...

Option B, is a different story. When you do the same process, it amazingly comes out to 0.1785...(this means that Option B is 0.2 cents (rounded) cheaper per unit, then Option A.

So its option B

Your welcome.

Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?

Answers

Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.

Bob buys eggs and potatoes at the store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount.
What equation can be used to determine the cost, x, of each bag of potatoes?

Answers

Answer: 2.57 + 5x = 25.92

Can someone help me

Answers

Answer:

x = 15°

Step-by-step explanation:

We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.

106° + 59° = 165°

180° - 165° = 15°

Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x−3.

Answers

g(x) = -1/2 - 3
(I'm not sure)

I need help with the last part

Answers

Answer:

ok gimmie a min i will put answr

Step-by-step explanation:

Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
A. Angles F and H are congruent.
B. Angles A and G are congruent.
C. Angles A and H are congruent.
D. Angles E and C are congruent.

Answers

I think c

Step-by-step explanation:

I did it a min ago

Answer:

ur answer would be C. Angles A and H are congruent.

Step-by-step explanation:

right on edge 2021 for math

Whar is an example of a transversal?​

Answers

Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.

Step-by-step explanation:

Answer:

♡ hi fairy ♡

An example of a transversal is  line that intersects a system of lines.

hope I could help you. have a great day!

-madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

4x-2y = 2
3x-2y=-19
Help

Answers

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

More Icon

System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

Answer: {x,y}={21,41}

HELP ASAP PLS BRAINLIEST

Answers

Answer:

for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00

Step-by-step explanation:

11-11-29 Daily work ( Go math 4.3)

Answers

Bruhhhhhhhhhhhhhhhhhhhhh

Carlita planted 4 flowers in 6 minutes. About how many flowers can Carlita plant in 36 minutes?

Answers

Answer:

24

Step-by-step explanation:

[tex]\frac{4}{6} =\frac{x}{36}[/tex]

[tex]\frac{4}{6} *\frac{6}{6} =\frac{24}{36}[/tex]

[tex]x = 24[/tex]

Hope this helps and pls do mark me brainliest if you can:)

Answer:

24

Step-by-step explanation:

6*6=36, so she has 6 times as much time to plant with 36 minutes.

4*6=24, so she can plant 24 flowers in 36 minutes.

Solve 1/2x−5=10−3/4x . Check your solution.

x=___

Answers

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

Calculating the value of x:

[tex]\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12[/tex]

Therefore, the final value of x is "12".

Find more information about the x value here:

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Which graph shows y = 2x – 12?

Answers

Answer:

(0,6) (0,-12)

Step-by-step explanation:

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).

To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.

Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.

Learn more about graph here

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Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°

Find mBOC:

Answers

The answer is 47 and here are the steps.

Please help me I will give you brainleist if I figure out how

Answers

2.5
2.52
5 for 12.50


12.5/5= 2.5
20.16/8=2.52
i agree with the person above :) mark them brainlist they deserve it have a great day

The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days.

Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

Answers

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]

.MARY WAS TOLD TO RUN AROUND THE TRACK 5 TIMES BY HER COACH. ONCE AROUND THE TRACK IS 5/6 OF A MILE. MARY WAS ONLY ABLE TO RUN AROUND THE TRACK 4 1/3 TIMES. HOW MANY MILES TOTAL DID MARY RUN?

Answers

Answer:

3.61 miles

Step-by-step explanation:

Given that:

Length of track = 5/6 of a mile

Number times Mary was able to run around the track = 4 1/3 times

Total miles ran by Mary :

(Equivalent mile of the track * number of times Mary ran around the track)

5/6 of a mile * 4 1/3 times

5/6 * 13/3

= 65 / 18

= 3.611111 miles

Hence, total Number of miles ran by Mary is 3.61 miles

The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?

Answers

Answer:

-20

Step-by-step explanation:

y = -3x+1

if the input is 7, it means x=7 so substitute in the equation

y= -3*7+1 = -21+1= -20 which is the output

-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)

(70 points.)

Answers

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

What is PEMDAS?

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

To learn more about the PEMDAS;

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The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)


What is the slope of the line?

Answers

The slope of a line is rise/run. The formula is y=mx+b. But to find it on a graph you have to pin point 2 coordinate points. Doesn’t matter which ones they are. And then you have to put them in a y2-y1 over x2-x1 and that will give you slope.

Answer:

1

Step-by-step explanation:

1−2+3−4+5−6 + ⋯ +101−102

Answers

Answer:

-4

Step-by-step explanation:

1-2=-1+3=2-4=-2+5=3-6=-3+101=98-102=-4

I hope I am right

The varsity club wants to make 1000 dollars for a NYC trip. They are selling t-shirts for 9.00 dollars each. The fee for printing lancers logos is 30 dollars if the number of t-shirts is represented by x write and solve an inequality to find the number of t-shirts they have to sell in order to reach their goal

Answers

Answer:

26

Step-by-step explanation:

Given that:

Target amount for NYC trip = $1000

Cost of T - shirt = $9 each

Logo printing fee = $30

Number of T - shirts = x

Number of T - shirts to be sold in other to reach their goal :

[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount

[($30 + $9) * x] ≥ $1000

$39x ≥ 1000

x ≥ 1000/ 39

x ≥ 25.64

Hence, they have to sell at least 26 t shirts with logo printed to raise $1000

Order the numbers from least to greatest.
-0.5, 3, -3, 1.2
The order of the numbers from least to greatest is (blank)

Answers

Answer:

The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.

Answer:

-3, -0.5, 1.2, 3

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