
The line equation in slope-intercept form is
, where m is the slope and b is the y-intercept.
First find the slope (m).
\Slope formulae is 
(Replace
with 5, -3, -2 and 0)
(Product of two same signs is positive)
(Subtract:
)
Slope is
.
Next find the y-intercept (b).
\
(Substitute
for m)
(Substitute 5, -3 for x, y)
(Multiply:
)
(Add
to each side)
(Apply Commutative property:
)
(Apply Additive inverse property:
)
(Add:
)
Substitute
for m and
for b in the Slope-intercept form equation.
.
The equation in slope-intercept form is
.