Question

Answer this by 4:20 EST and I will mark brainliest

Answer 1

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = $\frac{-4-a}{9-6}$ = $\frac{-4-a}{3}$

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = $\frac{2}{3}$ x - 2 ← in slope- intercept form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes , then

$\frac{-4-a}{3}$ = $\frac{2}{3}$ , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A