Question

graph the line.
$-4x+y=-8$

Explanation:

Step1: Rewrite to slope-intercept form

Rearrange the equation to $y=mx+b$:
$$-4x+y=-8 \implies y=4x-8$$

Step2: Find y-intercept

Set $x=0$ to solve for $y$:
$$y=4(0)-8=-8$$
The y-intercept is the point $(0, -8)$.

Step3: Find x-intercept

Set $y=0$ to solve for $x$:
$$0=4x-8 \implies 4x=8 \implies x=2$$
The x-intercept is the point $(2, 0)$.

Step4: Plot and connect points

Mark $(0, -8)$ and $(2, 0)$ on the grid, then draw a straight line through them.

Answer:

The line passes through points $(0, -8)$ and $(2, 0)$, and extends infinitely in both directions along the line $y=4x-8$.