Answer
slope = $2$
y-intercept = $7$
Refer to the image below for the graph.
Work Step by Step
RECALL:
(1) The slope is equal to $\dfrac{rise}{run}$ and may be used to graph a line when one point on the line is known.
(2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept.
(3) The y-intercept is y-coordinate of the the point on the y-axis where the line passes through.
Transform the given equation to slope-intercept form to obtain:
$-2x+y=7
\\-2x+y=2x=2x+7
\\y=2x+7$
This equation has:
slope (m) $=2$
y-intercept (b) $=7$.
To draw the graph of this line using the slope and y-intercept, perform the following steps:
(1) Plot the y-intercept point$(0, 7)$.
(2) From point $(0, 7)$, use the slope to locate/plot another point.
The slope is $2=\dfrac{2}{1}$, so move up two units (the rise) and move to the right 1 unit (the run) to end up at the point $(1, 9)$.
(3) Connect the two points using a straight line to complete the graph.
(refer to the attached image in the answer part above for the graph)
