Answer
slope = $-\frac{4}{5}$
y-intercept = 2
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:
$\\5y= -4x+10
\\y = \frac{-4x+10}{5}
\\y = \frac{-4}{5}x+2$
This equation has $m = \frac{-4}{5}$ and b = 2.
Thus, the slope of the line is $-\frac{4}{5}$ and the y-intercept is 2.
Plot the y-intercept point (0, 2).
The slope is $-\frac{4}{5}$ so from (0 , 2), move 4 units upward then 5 units to the left to end at (-5, 6).
Complete the graph by connecting the two points using a line.
(refer to the answer part for the graph)
