Question

question
graph the line with the equation $y = -2x + 2$.

Explanation:

Step1: Identify slope and y-intercept

The equation $y=-2x+2$ is in slope-intercept form $y=mx+b$, where $m=-2$ (slope) and $b=2$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is the point where $x=0$, so the point is $(0, 2)$.

Step3: Use slope to find second point

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

Step4: Draw line through points

Connect the points $(0,2)$ and $(1,0)$ with a straight line, extending it in both directions.

Answer:

The line passes through points $(0, 2)$ and $(1, 0)$, with a slope of $-2$, forming a downward-sloping straight line across the coordinate plane.