Question

1. find the x- and y-intercept of the line.

-3x + 9y = 18
x-intercept is -6; y-intercept is 2.
x-intercept is 9 ; y-intercept is -3.
x-intercept is 2; y-intercept is -6.
x-intercept is -3; y-intercept is 9.

Explanation:

Step1: Encontrar el intercepto x (y=0)

Sustituir \( y = 0 \) en la ecuación \( -3x + 9y = 18 \):
\( -3x + 9(0) = 18 \)
\( -3x = 18 \)
Dividir ambos lados por -3:
\( x = \frac{18}{-3} = -6 \)

Step2: Encontrar el intercepto y (x=0)

Sustituir \( x = 0 \) en la ecuación \( -3x + 9y = 18 \):
\( -3(0) + 9y = 18 \)
\( 9y = 18 \)
Dividir ambos lados por 9:
\( y = \frac{18}{9} = 2 \)

Answer:

x-intercept is −6; y-intercept is 2.