Chapter 4.1, Problem 1AYU

The intercepts of the equation $9x^2+4y=36$ are ______. (pp.18-19)

To determine

To find: The intercepts of the equation $9x^2+4y=36$.

Answer to Problem 1AYU

$\text{The intercepts of the equation }9x^2+4y=36\text{ are }+2\text{ and }-2$.

Explanation of Solution

Given:

The equation $9x^2+4y=36$.

$y=\frac{36-9x^2}{4}$

To find the intercepts equate $y=0$.

$y=\frac{36-9x^2}{4}=0$

$9x^2=36$

$x^2=4$

$x=+2,-2$