Question

How do you graph 4x + 3y = -24

Answer 1

Often two convenient points to evaluate for a linear equation are the x and y intercepts.
For the equation
4
x
+
3
y
=
12

the x intercept (
y
=
0
) is at
(
3
,
0
)
and
the y intercept (
x
=
0
) is at
(
0
,
4
)

Answer 2

To graph, find -24 on the y-axis. Place a dot there. Then, go down 4 spaces and to the right 3. Continue that process. Then, go up 4 and to the left 3. Continue that process and you will have a line.

Explanation:

First, solve the equation to make it in this format: y=mx + b. The equation would equal -4/3x - 24. The slope would be -4/3 and the y-intercept would be -24. To graph, find -24 on the y-axis. Place a dot there. Then, go down 4 spaces and to the right 3. Continue that process. Then, go up 4 and to the left 3. Continue that process and you will have a line. Hope this helps!