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A line has the equation 3x–4y–12=0.

What are the x- and y-intercepts of the graph of this equation?

User Yourstruly
by
4.5k points

2 Answers

4 votes

Answer:

Explanation:

y intercept is -3

x intercept is 4

User Davidfowl
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4.1k points
6 votes

Answer: x intercept = 4 and y intercept = -3

Explanation:

In order to find the x intercept, set y=0 and solve the equation.

3x-4y-12=0

3x-4(0)-12=0

3x-12=0

add 12 to both sides

3x=12

divide both sides by 3

x = 4

The x intercept is 4.

To find the y intercept, set x = 0.

3x-4y-12=0

3(0)-4y-12=0

-4y-12=0

add 12 to both sides

-4y=12

divide both sides by -4

y = -3

The y intercept is -3.

Hope this helps! Have a great rest of your day :)

User AlexGad
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4.7k points