Question

graph the linear equation
$y = -4x$
use the graphing tool to graph the linear equation
click to enlarge graph

Explanation:

Step1: Identify slope-intercept form

The equation $y=-4x$ follows $y=mx+b$, where $m=-4$ (slope) and $b=0$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is $(0,0)$; mark this on the graph.

Step3: Use slope to find second point

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

Step4: Draw the straight line

Connect $(0,0)$ and $(1,-4)$, extend the line across the grid.

Answer:

The graph is a straight line passing through the points $(0,0)$ and $(1,-4)$, extending infinitely in both directions with a slope of $-4$.