Find the intercepts of 6x – 2y = -24.

The intercepts are where the line crosses the x and y axises

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0

so find them by setting other to zero

xint, y=0
6x-0=-24
6x=-24
divide 6
x=-4
xint is x=-4

yint, x=0
0-2y=-24
-2y=-24
divide -2
y=12
yint is y=12

xint: x=-4
yint: y=12

given options A.x=4, y=-12 B.x=-12, y=4 C.x=-4, y=12 D. x=12, y=4

the answer is C