Answer
slope = $\frac{2}{5}$
y-intercept = 0
Refer to the attached image for the graph.
Work Step by Step
RECALL:
(i)
The slope-intercept form a line’s equation is $y=mx+b$ where m=slope and $b$=y-intercept.
(ii)
slope = $\frac{\text{rise}}{\text{run}}$
Write the given equation in slope-intercept form to have:
$\\-5y= -2x
\\y = \frac{-2x}{-5}
\\y = \frac{2}{5}x$
This equation has $m = \frac{2}{5}$ and b = 0.
Thus, the slope of the line is $\frac{2}{5}$ and the y-intercept is 0.
Plot the y-intercept point (0, 0).
The slope is $\frac{2}{5}$ so from (0 , 0), move 2 units upward then 5 units to the right to end at (5, 2).
Complete the graph by connecting the two points using a line.
(refer to the answer part for the graph)
