Answer
slope = $-\frac{3}{5}$
y-intercept = $7$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$, where $m$=slope and $b$=the y-intercept.
The given equation is in slope-intercept form with $m=-\frac{3}{5}$ and $b=7$.
Thus, the equation has:
slope = $-\frac{3}{5}$
y-intercept = $7$
To graph this equation, perform the following steps:
(1) Create a table of values by assigning different values to $x$ and then solving for the corresponding value of y for each one.
(Refer to the attached image below for the table.)
(2) Plot each ordered pair, and then connect the points using a straight-edge.
(Refer to the attached image in the answer part above for the graph.)