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y
<
−
3
x
+
2
Use the slope-intercept form to find the slope and y-intercept.
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The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
−
3
b
=
2
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
−
3
y-intercept:
(
0
,
2
)
Graph a dashed line, then shade the area below the boundary line since
y
is less than
−
3
x
+
2
.
y
<
−
3
x
+
2
image of graph
2.Use the slope-intercept form to find the slope and y-intercept.
Slope:
2
y-intercept:
(
0
,
−
4
)
Graph a solid line, then shade the area below the boundary line since
y
is less than
2
x
−
4
.
y
≤
2
x
−
4
image of graph