Question

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

Answer 1

Answer:

$y=-2x+8$

Step-by-step 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

$y+6=-2x+14$

$y=-2x+14-6$

$y=-2x+8$