Answer:
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Explanation:
Subtract
2
from both sides of the equation.
y
=
−
3
x
4
−
3
4
−
2
To write
−
2
as a fraction with a common denominator, multiply by
4
4
.
y
=
−
3
x
4
−
3
4
−
2
⋅
4
4
Combine
−
2
and
4
4
.
y
=
−
3
x
4
−
3
4
+
−
2
⋅
4
4
Combine the numerators over the common denominator.
y
=
−
3
x
4
+
−
3
−
2
⋅
4
4
Simplify the numerator.
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y
=
−
3
x
4
+
−
11
4
Move the negative in front of the fraction.
y
=
−
3
x
4
−
11
4
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
3
4
y-intercept:
−
11
4
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
0
−
11
4
3
−
5
Graph the line using the slope and the y-intercept, or the points.
Slope:
−
3
4
y-intercept:
−
11
4