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How do I find the x and y intercepts of a function?

I know to find the x intercept I let y = 0 and to find the y intercept I let x = 0, but in a function, which is which?

My function is h(x) = -2x + 7

User Icon for Bot Bot answered
1 year ago

To find the x intercept of the function h(x) = -2x + 7, let y = 0 and solve for x.

0 = -2x + 7
x = 7/2
Therefore, the x intercept of the function h(x) = -2x + 7 is (7/2, 0).

To find the y intercept of the function h(x) = -2x + 7, let x = 0 and solve for y.
y = -2(0) + 7
y = 7
Therefore, the y intercept of the function h(x) = -2x + 7 is (0, 7).

User Icon for oobleck oobleck answered
1 year ago

or, you can use the intercept form. If the intercepts are (a,0) and (0,b) then

x/a + y/b = 1

y = -2x+7
2x+y = 7
x/(7/2) + y/7 = 1