Question

If a line had the equation y − 6 = -1/7(x + 2) what would the slope of a line that is

perpendicular to the equation be?

Answer 1

7

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y = 6 = -
`(1)/(7)` (x + 2) ← is in point- slope form

with slope m = -
`(1)/(7)`

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(1)/(7) )` = 7