Question

I don’t know how to solve this

Answer 1

$\frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40$

Answer 2

Answer:

y = $\frac{1}{4}$ x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = $\frac{-5+3}{0-8}$ = $\frac{-2}{-8}$ = $\frac{1}{4}$

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = $\frac{1}{4}$ x - 5 ← equation of line