Question

Want to make easy 30points and brainliest???!!!

Answer 1

Q1.

The slope-intercept form: y = mx + b

m - slope b - y-intercept

We have the slope m = 5 and y-intercept b = -8. Substitute:

Answer: D. y = 5x - 8

Q2.

Choice one point from the graph (look at the picture).

We have the point (2, -1). Put the coordinates of the point to the equations of a line and check the equality.

H. 2x - y = 5

L = 2(2) - (-1) = 4 + 1 = 5

R = 5

L = R   CORRECT :)

Answer: H. 2x - y = 5

Q3.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, -5) and (6, 3). Substitute:

$m=\dfrac{3-(-5)}{6-2}=\dfrac{3+5}{4}=\dfrac{8}{4}=2$

Therefore we have the answers C and D with that the slope.

Put the coordinates of the points to the equations and check the equality:

C. y = 2x + 12

for (2, -5)

L = -5

R = 2(2) + 12 = 4 + 12 = 16

L ≠ R   INCORRECT  :(

D. y = 2x - 9

for (2, -5)

L = -5

R = 2(2) - 9 = 4 - 9 = -5

L = R     CORRECT  :)

for (6, 3)

L = 3

R = 2(6) - 9 = 12 - 9 = 3

L = R    CORRECT  :)

Answer: D. y = 2x - 9