The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39


Related Questions

What is the solution to the inequality?

1/4+x <5/6


A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12​

Answers

Answer:

A x<7/12 hope this helps

HELP ME PLS

The line of best fit is shown on the scatter plot below. What is the equation of the line of best fit?

Answers

Answer:

D

Step-by-step explanation:

Notice how it goes down one unit and right one unit. Thats how you get the slope (-x) and then then the +9 is the intercept of the y-axis which you can see is where the graph is starting here.


y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..

Answers

X=2.5

Step-by-step explanation:

0.5=1/2

5/2 = 2.5

Find the sum

14.3 + 7.36 = ?

Answers

Answer:

21.66

Step-by-step explanation:

The graph below represents which system of inequalities? (2 points)
Oa
y> 2x-3
y> x-3
Ob
y< 2x- 2
y<-x+3
Oc
ys2x- 2
y>X+3
Od
None of the above

Answers

Answer: It is the None of them. If you see, one of the lines is Dotted, and one is solid. So, the Solid has either has ≤ or ≥ in it's equation. If the second option, and in the second option, the second equation has one of those signs, it would be correct, but it doesn't, so it's none of the above. I hope this didn't confuse you, and Happy Holidays! :)

What expression is equivalent to (2a - 7) + 5(3 - a)

Answers

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

(2a - 7) + 5(3 - a)

Therefore, solving it further;

2a-7+15-5a

Combine the like terms;

2a-5a-7+15

Then we get;

-3a+8

Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Please help its 99 points! I just need to write as an equation to represent a function PLEASE!.
Number of Miles |2|, |4|, |6|, |8|
Total Cost: .60, 1.20, 1.80, 2.50

1. Write an equation to represent the function.

Answers

Answer:

Step-by-step explanation:

i think the last number 2.50 is wrong, maybe is 2.4

total cost= 0.30 x number of miles

for the first 0.30*2=0.60

second 0.30*4=1.20

and so on

Answer:

.60 ÷ 2 = 0.3

1.20 ÷ 4 = 0.3

1.80 ÷ 6 = 0.3

2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3

So are equation would be y ÷ x = 0.3

*welp* Can i 'ave a bit of help, please?

Answers

Answer:

3^2

Step-by-step explanation:

You add the exponents when you multiply

Then you subtract them since you divided them.

Answer:

9

Step-by-step explanation:

3^8=6561

3^4=81

3^2=9

3^8=6561

so... 6561*81/9*6561 equals nine so your answer is 9.

Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?

Answers

Answer:

8.2

Step-by-step explanation:

509.056/62.08

What is 5/8 divided by 1/4
I’m timed

Answers

Answer:

5/2

Step-by-step explanation:

(5/8) / (1/4) = 5/8 times 4

= 20/8 = 10/4 = 5/2

Answer:

5/2

Step-by-step explanation:

[tex]\frac{5}{8} *\frac{4}{1} =\frac{5}{2}[/tex] because you have to multiply by it's inverse

Hallar el valor de x

Answers

Answer:

whats the question??

Step-by-step explanation:

what does x equal and what are the angle measures?? help Asap

Answers

all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2

You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____

Answers

Answer:

Step-by-step explanation:

7.49+6.21= 13.70

pls help thx and merry christmas and or happy Hanukkah

Answers

Answer:

3 3/4 yards of ribbon my dudeeee

Answer:

oof

Step-by-step explanation:

8÷(3-1) _2 ×5-2
plssss help ​

Answers

Answer:

8

Step-by-step explanation:

You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.

Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, round your answer to the nearest tenth.

Answers

Answer:

# of sides [tex]{}[/tex]  Interior               One Interior Angle  Exterior           One

           [tex]{}[/tex]        Angle Sum                                          Angle Sum     Exterior Angle

14   [tex]{}[/tex]              2,160°                 154.3°                            360°           25.714°    

24    [tex]{}[/tex]            3,960°                165°                                360°            15°

8    [tex]{}[/tex]               1,080                 135°                                360°            45°

30    [tex]{}[/tex]            5,040                 168°                                360°            12°

12    [tex]{}[/tex]             1,800                  150°                                360°            30°

Step-by-step explanation:

Please find attached the table of values calculated with Microsoft Excel

From the given table, we have the formula for the following parameters;

Number of sides = n

Interior Angle Sum = 180×(n - 2)

Measure of ONE Interior = 180×(n - 2)/n        

Angle (regular polygon)  

Exterior Angle Sum = 360°

Measure of ONE Exterior = 360°/n

Angle (regular polygon)

1) When n = 14, we have;

The interior Angle Sum = 180×(14 - 2) = 2,160°

The measure of one Interior angle (regular polygon) ;  180×(14 - 2)/14 ≈ 154.3°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°

2) When n = 24, we have;

The interior Angle Sum = 180×(24 - 2) = 3,960°

The measure of one interior angle (regular polygon);  180×(24 - 2)/24 = 165°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/24 = 15°

3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;

n = 1,080°/180° + 2 = 8

n = 8

The measure of one interior angle (regular polygon);  180×(8 - 2)/8 = 135°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/8 = 45°

4) When the interior angle sum = 180×(n - 2) = 5,040°

n = 5,040°/180° + 2 = 30

n = 30

The measure of one interior angle (regular polygon);  180×(30 - 2)/30 = 168°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/30 = 12°

5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;

180°·n - 2×180° - 150°·n = 0

30°·n = 360°

n = 360°/30° = 12

n = 12

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/12 = 30°

what is a relation?????????????????

Answers

Answer:

c.

Step-by-step explanation:

Need the answer asap!

Answers

Answer:

--> (-7)+3 = -4

--> (-5) +1=-4

-->(-3)+(-1)=-4

Answer:

(x+3)x(x-2)

Step-by-step explanation:

Hadley runs several times around the
track. One lap around the track is
equal to 0.15 miles. She then runs 0.4
miles home for a grand total of 1.75
miles. Determine the number of laps
Hadley ran around the track.

Answers

1.75 - .40 is 1.35 so 1.35 divided by .15 is 9 do she ran the track 9 times

help I suck at math lol

Answers

For 14/8, you first have to simply it by dividing both numbers by 2


So that it becomes 7/4, which is 1 3/4






For 48/9, divide both numbers by 3


So that it becomes 16/3 which is 5 1/3

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/62
mile per hour. What is the speed of the​ car? What error might billy have​ made?

Answers

Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.

Help Please!Solve For Z.

Answers

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

Help it's timed! I give Brainliest

Answers

Answer:

2nd option

Step-by-step explanation:

what is 3/4 divided by 1/2​

Answers

3/4 divided by 1/2 is 1.5 or 6/4.

Hi! I need the answer for this problem asap! Thank you (:​

Answers

Answer:

-14

Step-by-step explanation:

Find the
measure of X given two triangles:

Answers

Answer:

The measure of angle x is 68°

Step-by-step explanation:

The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures

In the given figure

∵ An isosceles Δ has a vertex angle of measure 68°

∴ The other two angles are equal in measure ⇒ base angles

→ The sum of the measures of the interior angles of a triangle is 180°

The sum of the measures of the base angles = 180° - 68°

∴ The sum of the measures of the base angles = 112°

→ Divide their sum by 2 to find the measure of each angle

∵ The measure of each base angle = 112° ÷ 2

The measure of each base angle = 56°

∵ There are two intersected segments

∴ There is a pair of vertically opposite angles

∵ The other isosceles Δ has a vertex angle of measure x

A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically

   opposite angles

∴ They are equal in measure

∴ The measure of the base angle of the 2nd Δ = 56°

∴ The two base angles are equal in measure

The measure of each base angle is 56°

→ The sum of the measures of the interior angles of a triangle is 180°

56° + 56° + x = 180°

∴ 112° + x = 180°

→ Subtract 112 from both sides

x = 68

The measure of angle x is 68°

what 10x10x10x10x10x10x10000=

Answers

Answer:

                      10^6*10000=10,000,000,000

Step-by-step explanation:

Please help me!! Thanks!

Answers

Answer: $30 and 1 cent more

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helps.

find the value for x!

Answers

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

Can someone please explain to me the answer to this problem????
5(a +3)= 40

Answers

Answer:

5

Step-by-step explanation:

5(a+3)=40

5a+15=40

5a+15-15=40-15

5a=25

a=5

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