Question

find the value of y when x is -4.

Explanation:

Step1: Identify line's equation

First, find the slope-intercept form $y=mx+b$. The line crosses the y-axis at $(0,-1)$, so $b=-1$. Using another point, e.g., $(4,-2)$, slope $m=\frac{-2-(-1)}{4-0}=\frac{-1}{4}=-\frac{1}{4}$. Equation: $y=-\frac{1}{4}x -1$.

Step2: Substitute $x=-4$

Plug $x=-4$ into the equation.
$y=-\frac{1}{4}(-4) -1$

Step3: Calculate the value

Simplify the expression: $y=1 -1=0$

Answer:

$0$