Step-by-step explanation:6x−2y=18
Solve for
y
.
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Subtract
6
x
from both sides of the equation.
−
2
y
=
18
−
6
x
Divide each term by
−
2
and simplify.
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y
=
−
9
+
3
x
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
−
9
and
3
x
.
y
=
3
x
−
9
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
=
3
b
=
−
9
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
3
y-intercept:
−
9
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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x
y
2
−
3
3
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
y-intercept:
−
9
x
y
2
−
3
3
0
image of graph
