Question

What is the y-intercept of the linear equation x-1/2y=-6? a) –6 b) –3 c) 0 d) 12

Answer 1

Answer:

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

Step-by-step explanation:

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