Question

graph the line.
-3x + y = 3

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange to $y=mx+b$:
$$y = 3x + 3$$

Step2: Find y-intercept

Set $x=0$, solve for $y$:
$$y = 3(0) + 3 = 3$$
Point: $(0, 3)$

Step3: Find x-intercept

Set $y=0$, solve for $x$:
$$0 = 3x + 3 \implies 3x = -3 \implies x = -1$$
Point: $(-1, 0)$

Step4: Plot and connect points

Mark $(0,3)$ and $(-1,0)$, draw a straight line through them.

Answer:

The line passes through points $(-1, 0)$ and $(0, 3)$, and extends infinitely in both directions with a slope of 3.