Question

Which of the following equations describes the line shown below? Check all

Answer 1

Answer:

C and 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 ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = $\frac{3+6}{9+3}$ = $\frac{9}{12}$ = $\frac{3}{4}$

Using (a, b ) = (9, 3 ) , then

y - 3 = $\frac{3}{4}$ (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) = $\frac{3}{4}$ (x - (- 3) ) , that is

y + 6 = $\frac{3}{4}$ (x + 3) → D