# Find the x and y intercepts and graph the line. 2x+3y=-9

Question
Linear equations and graphs
Find the x and y intercepts and graph the line.
2x+3y=-9

2020-12-10
The x-intercept is when y=0 so substitute y=0 into the given equation and solve for x:
2x+3y=−9
2x+3(0)=−9
2x=−9
x=−4.5
Given equation. Substitute y=0. Simplify. Divide both sides by 2.
The x-intercept is then x=−4.5
The y-intercept is when x=0 so substitute x=0 into the given equation and solve for y:
2x+3y=-9
2(0)+3y=-9
3y=-9
y=-3
The y-intercept is then y=−3.
Plot the xx-intercept at −4.5 and the y-intercept at −3. Then draw a line passing through the intercepts to graph the line:
[Graph]

### Relevant Questions

Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
(a) $$-2x + 3y = 4$$
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(d) $$2x + 3y = 6$$
(e) $$3x + 2y = 6$$

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