#### Answer

slope = $-\dfrac{4}{5}$
y-intercept = $2$
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:
$4x+5y=10
\\4x+5y-4x=-4x+10
\\5y=-4x+10
\\\dfrac{5y}{5} = \dfrac{-4x+10}{5}
\\y = -\dfrac{4}{5}+2$
This equation has:
slope (m) $=-\dfrac{4}{5}$
y-intercept (b) $=2$.
To draw the graph of this line using the slope and y-intercept, perform the following steps:
(1) Plot the y-intercept point$(0, 2)$.
(2) From point $(0, 2)$, use the slope to locate/plot another point.
The slope is $-\dfrac{4}{5}$, so down four units (the rise) and move to the right 5 units (the run) to end up at the point $(5, -2)$.
(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)