Question

Perpendicular to the line y=1/2x-8 passes through (7,-6)

Answer 1

`y=-2x+8`

Explanation:

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=1/2

so

the opposite reciprocal is m=-2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=-2\\point\ (7,-6)`

substitute

`y+6=-2(x-7)`

Convert to slope intercept form

`y=mx+b`

isolate the variable y

`y+6=-2x+14`

`y=-2x+14-6`

`y=-2x+8`