1. −
2
x
+
3
y
=
16
Solve for
y
.
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Add
2
x
to both sides of the equation.
3
y
=
16
+
2
x
Divide each term by
3
and simplify.
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y
=
16
3
+
2
x
3
Rewrite in slope-intercept form.
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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
Reorder
16
3
and
2
x
3
.
y
=
2
x
3
+
16
3
Rewrite in slope-intercept form.
y
=
2
3
x
+
16
3
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
2
3
b
=
16
3
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
2
3
y-intercept:
16
3
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
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Choose
1
to substitute in for
x
to find the ordered pair.
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y
=
6
Choose
0
to substitute in for
x
to find the ordered pair.
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y
=
16
3
Create a table of the
x
and
y
values.
x
y
0
16
3
1
6
Graph the line using the slope and the y-intercept, or the points.
Slope:
2
3
y-intercept:
16
3
x
y
0
16
3
1
6
2.
Isolate the variable by dividing each side by factors that don't contain the variable.
y=4