What is the x-intercept

1/2x - 3y = 8

So first make it into slope intercept form y=mx+b

1/2x-3y=8

subtract 1/2x from both sides

-3y=8-1/2x

multiply both sides by - 1

3y=1/2x-8

divide both sides by 3

y=1/6x-8/3

the x intercept is when y=0

so set y to zero

0=1/6x-8/3

add 8/3 to both sides

8/3=1/6x

multiply both sides by 6

16=x

the x intercept is 16

X intercept is when y = 0

so 1/2 x - 0 = 8

solving for x

1/2 x = 8

multiply both sides by 2

x = 16 is the y intercept