How to find x and y intercepts for the equation 2x+3y-15=0?

Expert Answers

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The x-intercept has a y-value of 0 and the y-intercept has an x-value of 0.  Therefore, you can find the x and y intercepts by substituting 0 in for each variable one at a time.

x-intercept:

2x + 3(0) - 15 = 0

2x - 15 = 0

2x = 15

x = 7.5

The x-intercept is (7.5, 0).

 

y-intercept:

2(0) + 3y - 15 = 0

3y - 15 = 0

3y = 15

y = 5

The y-intercept is (0, 5).

 

You can check this answer by graphing the line.

Rewrite the equation as y = (-2x + 15) / 3

The line intersects the x-axis at 7.5 and the y-axis at 5.

 

 

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