Question

Use the equation and given point to answer the questions below.

The equation of line a is y=1/2x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).

A: What is the slope of line b?
B: What is the y- intercept of line b?
Select two answers: one for A and one for B.

A: 2
A: −2
B: 5
A: 1/2
A: −1/2
B: −10
B: −1
B: 1

Answer 1

Part A

The slope of line
`a` is
`(1)/(2)`. Perpendicular lines have slopes that are negative reciprocals of each other, so the answer is
`\boxed{-2}`.

Part B

Using point-slope form, the equation of line
`b` is
`y-2=-2(x+6)`.

The
`y`-intercept is where
`x=0`.

`y-2=-2(0+6) \implies y-2=-12 \implies y=\boxed{-10}`