Question

graph the line.
$y = -\frac{1}{5}x + 4$

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=4$. So the y-intercept is $(0, 4)$.

Step2: Use slope to find second point

Slope $m=-\frac{1}{5}$, meaning $\frac{\Delta y}{\Delta x}=-\frac{1}{5}$. From $(0,4)$, move 5 right ($\Delta x=5$) and 1 down ($\Delta y=-1$) to get $(0+5, 4-1)=(5, 3)$.

Step3: Plot and draw the line

Mark points $(0, 4)$ and $(5, 3)$ on the grid, then draw a straight line through them, extending to the edges of the coordinate plane.

Answer:

The line passes through points (0, 4) and (5, 3), and extends across the grid.