Question

graph the line with the equation $y = -3x + 3$.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=3$. So the y-intercept is the point $(0, 3)$.

Step2: Identify slope

The slope $m=-3$, which is $\frac{-3}{1}$. This means for every 1 unit right in $x$, $y$ decreases by 3.

Step3: Find second point

Starting from $(0,3)$, move 1 unit right to $x=1$, then 3 units down: $y=3-3=0$. This gives the point $(1, 0)$.

Step4: Plot and connect points

Plot $(0,3)$ and $(1,0)$, then draw a straight line through them extending across the grid.

Answer:

The line passes through points $(0, 3)$ and $(1, 0)$, extending infinitely in both directions on the coordinate plane.