Question

Find the x- and y-intercept of the line.

-3x+9y=18
a. -intercept is -6; y-intercept is 2.
b. -intercept is -3; y-intercept is 9.
c. x-intercept is 9; y-intercept is -3.
d. x-intercept is 2; y-intercept is -6.

Answer 1

`-3x+9y=18 \\ \\ \hbox{x-intercept - y=0:} \\ -3x+9 * 0=18 \\ -3x=18 \ \ \ |/ (-3) \\ x=-6 \\ \\ \hbox{y-intercept - x=0:} \\ -3 * 0+9y=18 \\ 9y=18 \ \ \ |/ 9 \\ y=2`

The x-intercept is -6 and the y-intercept is 2. The answer is A.