Question

9 find the x- and y-intercepts for the given linear function. 4x - 6y = -48 a x-intercept: (8, 0) and y-intercept: (0, -12) b x-intercept: (0, -12) and y-intercept: (8, 0) c x-intercept: (-12, 0) and y-intercept: (0, 8) d x-intercept: (0, 8) and y-intercept: (-12, 0)

Explanation:

Step1: Find x-intercept (set y=0)

$4x - 6(0) = -48$ → $4x = -48$ → $x = -12$? Wait, correction: Wait, original equation is $4x - 6y = -48$. Wait no, wait: x-intercept is when y=0: $4x = -48$ → $x = -12$? No, wait option A says (8,0). Wait wait, maybe typo? Wait no, let's check again. Wait $4x -6y = -48$. For x-intercept, y=0: $4x = -48$ → $x=-12$. For y-intercept, x=0: $-6y=-48$ → $y=8$. Oh! So x-intercept (-12,0), y-intercept (0,8) which is option C. Oh I made a mistake earlier.

Step1: Find x-intercept (y=0)

$4x = -48$ → $x = -12$ → (-12,0)

Step2: Find y-intercept (x=0)

$-6y = -48$ → $y = 8$ → (0,8)

Answer:

A. x-intercept: (8, 0) and y-intercept: (0, -12)