Question

Help me find the answer

Answer 1

Answer:

y = - $\frac{1}{4}$ x - 3

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

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

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

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - $\frac{1}{4}$ x - 3 ← equation of line