Question

graph the following equation:
y = 4 - 4x

Explanation:

Step1: Identify slope-intercept form

The equation $y = 4 - 4x$ can be rewritten as $y = -4x + 4$, which matches the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Find y-intercept

The y-intercept $b = 4$, so the line crosses the y-axis at the point $(0, 4)$.

Step3: Use slope to find second point

The slope $m = -4 = \frac{-4}{1}$. From the y-intercept $(0, 4)$, move 1 unit right along the x-axis and 4 units down along the y-axis to get the point $(0+1, 4-4) = (1, 0)$.

Step4: Plot and connect points

Plot the points $(0, 4)$ and $(1, 0)$, then draw a straight line through them, extending it across the grid.

Answer:

The line passes through points $(0, 4)$ and $(1, 0)$, extending across the coordinate grid as defined by $y = -4x + 4$.