Question

find the x-intercept and y-intercept of the line. 2x - 6y = 12 x -intercept: y -intercept:

Explanation:

Step1: Find x-intercept, set $y=0$

Substitute $y=0$ into $2x - 6y = 12$:
$2x - 6(0) = 12$
$2x = 12$
$x = \frac{12}{2} = 6$

Step2: Find y-intercept, set $x=0$

Substitute $x=0$ into $2x - 6y = 12$:
$2(0) - 6y = 12$
$-6y = 12$
$y = \frac{12}{-6} = -2$

Answer:

x-intercept: $6$
y-intercept: $-2$