Question

Which equation describes this line?

Answer 1

Answer:

D. y - 4 = 3(x + 2)

Step-by-step explanation:

hello :

1) this line passes trough (-2,4) because : 4-4 =3(-2+2)  means : 0=0 (true)

2) this line passes trough (1,13) because : 13-4 =3(1+2)  means : 9=9

(true)

Answer 2

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 13) ← 2 points on the line

m = $\frac{13-4}{1+2}$ = $\frac{9}{3}$ = 3

Use either of the 2 points for (a, b)

Using (a, b) = (- 2, 4), then

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) → D