Question

What is the y-intercept of the linear equation x-1/2y=-6?

a) –6
b) –3
c) 0
d) 12

Answer 1

`\large\boxed{d)\ 12}`

Explanation:

`x-(1)/(2)y=-6\\\\\text{y-intercept is for x = 0. Substitute:}\\\\0-(1)/(2)y=-6\\\\-(1)/(2)y=-6\qquad\text{multiply both sides by (-2)}\\\\\left(-2\!\!\!\!\diagup^1\right)\left(-(1)/(2\!\!\!\!\diagup_1)y\right)=(-2)(-6)\\\\y=12`