What is the equation of the line that passes
through the points (3,-1) and (7, 3)?

Answers

Answer 1

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4


Related Questions

a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)

Answers

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

please help i will give brainliest

Answers

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)

Answers

The answer is [1,20)

Someone help pls and explain it if you can pls

Answers

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the
image reflected across the y-axis?

A. P’(8,-5), Q'(-5, -8), and R'(-4,-3)

B. P'(-8,5), Q'(5,8), and R'(4,3)

C. P'(8,5), Q'(-5,8), and R'(-4,3)

D. P'(-8,-5), Q'(5, -8), and R'(4, -3)

Answers

Answer:

A

Step-by-step explanation:

Hi

help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC

Answers

Answer:

So I figured it would be easier if I sent the pics instead. Hope it helps

One angle of an isosceles triangle measures 34º. Which other angles could be in that
isosceles triangle?

Answers

Answer:

112º and 73º

Step-by-step explanation:

34º could be base angle

Base angles are equivalent

Vertical angle would be = 180 - 34 - 34

Vertical angle = 112º

34º could be vertical angle

Base angles are equivalent

2x = 180 - 34

Base angle = 73º

Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?

Answers

Answer: he can make 3   1/4 pound burgers.

Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)

X^2-18x complete the square

Answers

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help

Answers

Step-by-step explanation:

the area of a triangle is baseline × height / 2.

now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?

I find the baseline is 14 units long.

the height is 7 units.

so, the area is

14×7/2 = 7×7 = 49 square units.

BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)

Evaluate 12x-3(3x-5)+24 when x = 2

Answers

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

MARK BRAINLIEST

(12)(2)-3((3)(2)-5)+24
=24-3((3)(2)-5)+24
=24-3(6-5)+24
=24-(3)(1)+24
=24-3+24
=21+24
=45
Sorry the parentheses got to be a lot LMMMMAAAAOOO anyways please mark as brainliest

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.

Answers

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

What is Percent Change?

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

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4567 x 1283490 =
I just want to give points : )

Answers

Answer:

5861698830

Step-by-step explanation:

Please help :)
M is the midpoint of segment AT.
Solve for X and AM

Answers

Because M is the midpoint of segment AT
So AM = TM
<=> 5x = 3x + 4 <=> 5x - 3x = 4
<=> 2x = 4 <=> x = 2

The answer: x = 2
Ok done. Thank to me :>

Help pleaseeee :,) 100 points

Answers

Answer: J) 125

Explanation:

Answer:

x = 125

Step-by-step explanation:

Given equation:

[tex]\log_224-\log_23=\log_5x[/tex]

[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]

[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]

[tex]\implies \log_28=\log_5x[/tex]

Rewrite 8 as 2³:

[tex]\implies \log_2(2^3)=\log_5x[/tex]

[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies 3\log_22=\log_5x[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 3(1)=\log_5x[/tex]

[tex]\implies \log_5x=3[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^3=x[/tex]

[tex]\implies x=125[/tex]

HELPP ME PLEASEEE ! I NEED IT RNN

Answers

A square has each side equal which is 8 here.

Perimeter of a square is the sum of each side or

4 X side

4 X 8 = 32 cm

Area of square can be represented by side

Answer : A=32cm²

For any parallelogram what is not always true

Answers

Answer:

The diagonals are congruent.

Step-by-step explanation:

Answer:

1) The diagonals are congruent.

3) The opposite angles are congruent.

4) The opposite sides are parallel.

Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?

if it does not work sorry

To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?

Answers

Y = 18.50

Please tell me if it is right XD <3

Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=

Answers

Answer:

x = 6 ± 3√

Step-by-step explanation:

Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² - 12x + 36 = 90

Subtracting 90 from both sides.

x² - 12x - 54 = 0

To solve for x, we can use the quadratic formula.

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation

ax² + bx + c = 0.

In this case, a = 1, b = -12, and c = -54.

Substituting these values into the formula.

x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)

x = (12 ± √(144 + 216)) / 2

x = (12 ± √(360)) / 2

x = 6 ± 3 √(10)

Therefore,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

Learn more about equations here:

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Solve for the x

[tex]\frac{36}{x}[/tex] = -9

Answers

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]

-324 because 36/-324 is -9. Make sure to add the negative

What is the domain and range .

Answers

Domain (x) Range (y)
x= infinite

A line has a slope of – 4 and includes the points (6,3) and (9,p). What is the value of p?

Answers

Answer:

The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

Use substitution to solve each system of equations.
=++=

Answers

Answer:

I can only see =++= so please repost your answer so i can edit my answer as well

Step-by-step explanation:

please help me asap..

ty :)

Answers

Answer:

x = 3, 0

y = 0, -4

Step-by-step explanation:

is this correct ? if not what’s the correct answer?

Answers

Answer:

No. The correct answer would be C.

Step-by-step explanation:

AAS: The side cannot be in between the two angles.

ASA: The side is in between the two angles.

Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.

Answers

The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.

A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.

Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is  non random and biased.

Learn more: https://brainly.com/question/24842573

Answer:

its nonrandom and biased

Step-by-step explanation:

so you don't have to read the other guys answer

(6p+5)×5-6p) expansion using special algebraic identit

Answers

24p+25 is this how you want your answer

. What is the second step in solving the following equation: 3(2x - 1) = 15, if the
Distributive property is used as the first step.

Answers

Move the constant to the other side, so that you have variable on one side and constant on the other side

Check image for question

Answers

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

a*b=ab²2*3=2(3)²2*3=2(9)2*3=18

Please help
7a-4[2-(2a-1)]

Answers

Answer:

15a - 12

Step-by-step explanation:

7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1

= 7a - 4 [ 2 - 2a + 1 ]

= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4

= 7a + 8a - 12 ← collect like terms

= 15a - 12

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