How do you determine the y-intercept and the x-intercept in an algebraic equation?

Note: The equation format is [tex]y = mx + b[/tex].

If you want to find the x-intercept, you replace y in the equation with 0 and solve the equation for x. If you want to find the y-intercept, you replace x in the equation with 0 and solve the equation for y.
Example: y = 2 x + 5 x-intercept 0 = 2 x + 5 2 x = − 5 x = − 2.5 x-intercept is ( − 2.5 , 0 ) y-intercept y = 2 ⋅ 0 + 5 y = 5 y-intercept is ( 0 , 5 )

Answered by konrad509 | 2024-06-10

To find the x-intercept, replace y with 0 and solve for x , resulting in x = − m b ​ . To find the y-intercept, replace x with 0 and solve for y , resulting in y = b . The points can then be expressed as ( − m b ​ , 0 ) for the x-intercept and ( 0 , b ) for the y-intercept.
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Answered by konrad509 | 2025-06-14