Answer
(a) $y=\dfrac{4}{3}x$
(b) slope = $\dfrac{4}{3}$, y-intercept = $0$
(c) Refer to the image below for the graph.
Work Step by Step
(a)
The slope-intercept form is $y=mx+b$ where m = slope and b = y-intercept.
Divide $3$ on both sides to obtain:
$y=\dfrac{4}{3}x$
(b)
The equation has $m=\frac{4}{3}$ and $b=0$.
Thus,
slope = $\dfrac{4}{3}$
y-intercept = $0$
(c)
Plot the y-intercept point $(0,0)$.
From $(0,0)$, move 4 units up (the rise) and 3 units to the right (the run). These steps lead to the point $(3,4)$.
Connect the two points using a line to complete the graph.
