Question

Write an equation of the line that passes through (1, - 1) and is perpendicular to theline y=-1/2x+6

Answer 1

Answer: y=2x-3

Explanation:

Perpendicular means you take the negative reciprocal of the slope.

The equation:
`y= -(1)/(2) x+6` where the slope is -1/2

So the negative reciprocal is 2

So, now we have

`y=2x+b`

We still need to find the variable b. We can do this by plugging in an x and y value (1,-1)

`-1=2(1)+b`

`b=-1-2`

`b=-3`

So the full equation,
`y= 2x-3`