Find the x-intercept and y-intercept from the following linear equation: 5x+2y=20

Answer 1

To find the intercepts of any standard equation (Ax + By = C), all you need to do is set up two separate one step equations:

For the x intercept, you only need your x component, like so:

5x + 2y = 20

5x = 20

The y component simply vanishes (technically you are multiplying it by zero, but we will skip that part for the moment). Just solve, and your answer is your x-intercept.

The y intercept is solved the exact same way, but using your y component, instead of the x.

5x + 2y = 20

2y = 20

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Answer 2

first, get the equation in standard form

5x + 2y = 20

2y = 20-5x

y = 10 - 5/2 x

therefore the y intercept is 10 and the slope is -5/2, the x intercept is when y = 0

0 = 10-5/2 x

5/2 x = 10

x = 4

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