Question

graph the following equation: y = 3 - 2x

Explanation:

Step1: Identify slope-intercept form

The equation $y = 3 - 2x$ can be rewritten as $y = -2x + 3$, which matches the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Find y-intercept point

The y-intercept $b=3$, so the point is $(0, 3)$.

Step3: Use slope to find second point

Slope $m=-2=\frac{-2}{1}$. From $(0,3)$, move 1 unit right and 2 units down to get $(1, 3-2)=(1,1)$.

Step4: Plot points and draw line

Plot $(0,3)$ and $(1,1)$, then draw a straight line through them (extending in both directions).

Answer:

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