1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
3 years ago
8

What is an equation of the line that passes through the points (-3, 8) and (4, 1)?

Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:

The equation of the line is:

y=-x+5

Step-by-step explanation:

Given the points

  • (-3, 8)
  • (4, 1)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-8}{4-\left(-3\right)}

m=-1

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope

substituting the values m = -1 and the point (-3, 8)

y-y_1=m\left(x-x_1\right)

y-8=-1\cdot \left(x-\left(-3\right)\right)

y-8=-\left(x+3\right)

Add 8 to both sides

y-8+8=-\left(x+3\right)+8

y=-x+5

Therefore, the equation of the line is:

y=-x+5

You might be interested in
What is an equation for the line with slope 2/3 and y intercept 9
dybincka [34]
Y = 2/3x+9, or
2x-3y=-27
3 0
4 years ago
John has four more apples than Kim. Kim has three times as many apples than Rob. Altogether, they have 46 apples. How many apple
Anika [276]

Answer:

Step-by-step explanation:

j=k+4

k=3r

j=3r+4

j+k+r=46

3r+4+3r+r=46

7r+4=46

7r=42

r=6, since k=3r

k=18, since j=k+4

j=22

j,k,r=22,18,6

5 0
3 years ago
1. The great pyramid at Giza is the largest pyramid in the world, the area of its square base is 52,441 m squared, what is the l
AlladinOne [14]

Answer:

The length of each side of the base is 229\ m

Step-by-step explanation:

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side of a square

In this problem we have

A=52,441\ m^{2}

so

substitute in the formula

52,441=b^{2}

Square root both sides

b=\sqrt{52,441}\ m

b=229\ m

3 0
3 years ago
Cw 10.5 10.5 V. W<br> A great
Semmy [17]

Answer:

Refer to step-by-step.

Step-by-step explanation:

12.  x = 28

BC = x

AB = 96

AC = 100

We use the Pythagorean theorem to find the value of x.

a² + b² = c²

x² + 96² = 100²

x² + 9216 = 10000

x² = 10000-9216

x² = 784

√x² = √784

x = 28

13. x = 64

a² + b² = c²

48² + x² = 80²

2304 + x² = 6400

x² = 6400 - 2304

x² = 4096

√x² = √4096

x = 64

14. YES and 25 = 25

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

So this means that AB is tangent to the circle.

15. NO and 45 ≠ 49

a² + b² = c²

3² + 6² = 7²

9 + 36 = 49

45 = 49

So this means the AB is not tangent to the circle.

16. x = 4.5 and P = 52

To find the value of x, we need to determine the value of our hypotenuse.

QU is congruent to QT, therefore, QT = 4

UR is congruent with SR, therefore, UR = 13

PS is congruent to AB, therefore:

2x = 9

Divide both sides by 2

x = 4.5

The perimeter of a triangle is:

P = a + b + c

a = 9 + 4 or 13

b = 2(4.5) + 13 or 22

c = 4 + 13 or 17

P = 13 + 22 + 17

P = 52

17. x = 13 and P = 72

TJ is congruent to UJ, therefore, TJ = 13

x = 13

The perimeter of a parallelogram is:

P = 2(a+b)

a = HR + RK

b = KU + UJ

a = 13 + 5 or 18

b = 5 + 13 or 18

P = 2(18 + 18)

P = 2(36)

P = 72

18. x = 8 and P = 80

We know that part of the whole of 26 is 18 because one side is congruent to 18.

to find the value of the other half, we simply subtract 18 from 26.

26 - 18 = 8

x is congruent to 8, therefore x = 8

The line segment 14 is congruent to the opposite segment of x, therefore making the value 14.

So then we have:

a = 8 + 14 or 22

b = 26

c = 18 + 14 or 32

P = a + b + c

P = 22 + 26 + 32

P = 80

19. x = 6 and P = 52

Now we have the case of x + 2 is congruent to 8.

x + 2 = 8

Combine like terms.

x = 8 - 2

x = 6

Now that we have the value of x, we can simply look for the value of the line segment attached to it.

4 is congruent to the line segment attached to x + 2, therefore the value is 4.

To find the perimeter we have to add all sides together.

P = (8+5)+(5+9)+(9+4)+(8+4)

P = 52

20. x = 5, y = 2, z =10, and P = 68

Let's take this one step at a time.

First we look for x.

2x + 2 = 3x - 3

Combine like terms.

2x - 3x = -3 - 2

-x = -5

Divide both sides by -1.

x = 5

Now let's get the value of y.

5y - 2 = 3y + 2

Combine like terms.

5y - 3y = 2 + 2

2y = 4

Divide both sides by 2.

y = 2

Now let's look for z.

34 - 2z = z + 4

Combine like terms.

-2z - z = 4 - 34

-3z = -30

Divide both sides by -3.

z = 10

Now that we have the values of x, y, and z. We can substitute them to find the values of our segments.

2x + 2

2(5) + 2 = 12

3x - 3

3(5)-3 = 12

5y - 2

5(2) - 2 = 8

3y + 2

3(2) + 2 = 8

z + 4

10 + 4 = 14

34 - 2z

34 - 2(10)

34 - 20 = 14

Now that we have our values let's look for our perimeter.

P = a + b + c

P = (12 + 8) + (12 + 14) + (14 + 8)

P = 20 + 26 + 22

P = 68

4 0
3 years ago
A square has a side length of 3x inches and an area of 324 in? What is the value of x​
Firdavs [7]

So its a square with a side length of 3x so all sides are 3x so 3x x 3x is 9x 9x = 324 so 924/9 is your answer ;D

8 0
3 years ago
Other questions:
  • Which number is equivalent to 3^4/3^2
    7·1 answer
  • The exact answer and the estimated answer will always be the same. true or false
    7·2 answers
  • A. 18 square root of 2 B.18/ square root of 3 C.18 square root of 2 / square root of 3 D. 18 times square root 3 / square root o
    7·1 answer
  • What does Mutually exclusive mean
    15·2 answers
  • find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C m=
    6·1 answer
  • Solve for j.<br> 2j - k= 5
    14·1 answer
  • :v. holliwud was a country​
    13·1 answer
  • 20 in.<br> The area is about<br> square inches.
    10·1 answer
  • 2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are
    6·1 answer
  • 2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!