Question

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

Explanation:

Step1: Identify slope and y-intercept

The equation $y=-4x+4$ is in slope-intercept form $y=mx+b$, where $m=-4$ (slope) and $b=4$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is at $(0, 4)$; mark this point on the grid.

Step3: Use slope to find second point

Slope $\frac{\Delta y}{\Delta x}=\frac{-4}{1}$. From $(0,4)$, move 1 unit right and 4 units down to get $(1, 0)$; mark this point.

Step4: Draw the line

Connect the two points $(0,4)$ and $(1,0)$, then extend the line in both directions across the grid.

Answer:

The line $y=-4x+4$ is graphed by plotting the y-intercept $(0, 4)$, using the slope to find $(1, 0)$, and connecting/extending the line through these points.