Answer
slope = $\frac{3}{4}$
y-intercept = -3
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:
$\\-4y= -3x+12
\\y = \frac{-3x+12}{-4}
\\y = \frac{3}{4}x-3$
This equation has $m = \frac{3}{4}$ and b = -3.
Thus, the slope of the line is $\frac{3}{4}$ and the y-intercept is -3.
Plot the y-intercept point (0, -3).
The slope is $\frac{3}{4}$ so from (0 , -3), move 3 units upward then 4 units to the right to end at (4, 0).
Complete the graph by connecting the two points using a line.
(refer to the answer part for the graph)
