Question

What is the graph of the equation 4x - 5y =15

Answer 1

4
x
+
5
y
=
15
4
x
+
5
y
=
15
Solve for
y
y
.
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y
=
3
−
4
x
5
y
=
3
-
4
x
5
Rewrite in slope-intercept form.
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y
=
−
4
5
x
+
3
y
=
-
4
5
x
+
3
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
4
5
-
4
5
y-intercept:
3
3
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
0
3
1
11
5
x y 0 3 1
11
5

Graph the line using the slope and the y-intercept, or the points.
Slope:
−
4
5
-
4
5
y-intercept:
3
3
x
y
0
3
1
11
5
x y 0 3 1
11
5

image of graph