Answer
(a) $y=-\dfrac{7}{2}x+7$
(b) slope = $-\dfrac{7}{2}$, y-intercept = $7$
(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.
Subtract $7x$ on both sides to obtain:
$2y=14-7x
\\2y=-7x+14$
Divide both sides by $2$ to obtain:
$y=\dfrac{-7x+14}{2}
\\y = -\dfrac{7}{2}x + 7$
(b)
The equation has $m=-\dfrac{7}{2}$ and $b=7$.
Thus,
slope = $-\dfrac{7}{2}$
y-intercept = $7$
(c)
Plot the y-intercept point $(0, 7)$.
From $(0, 7)$, move 7 units down (the rise) and 2 units to the right (the run). These steps lead to the point $(2, 0)$.
Connect the two points using a line to complete the graph.
