What are the intercepts of x^2+y-9=0
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
x^2 + y - 9 = 0
Determine the intercepts.
Solution:
x-intercept
The x-intercept of a number can be found by equating y to 0, then solve for x.
x^2 - 0 - 9 = 0
x^2 = 9
Square boths sides in order to get the x-intercept.
√x^2 = √9
x = 3
y - intercept
In order to find for the y intercept, we simply need to solve for y, this can be done by transposing x^2 -9 on the other side of the equation, hence it must be taken note that when transposing a number the sign changes.
x^2 + y -9 =0
y =9 -x^2
Final answer:
x-intercept: x =3
y-intercept: y = 9 - x^2