Question

A line on the coordinate plane passes through the points (7, -5) and (3, 11). A line that is perpendicular to the first line passes through the points (-3, -9) and (5, n). Find the value of n.

Answer 1

Slope of the line passing through (7,-5) and (3,11) =

`(11 - ( - 5))/(3 - 7)`
= -4

As two lines are perpendicular to each other, so when their slopes are multiply by each other, the answer will be -1

so the slope of the line passing through (-3,-9) and (5,n) will be

`(1)/(4)`
So will will get a formula below

`(n - ( - 9))/(5 - ( - 3)) = (1)/(4)`
and the answer will be n=

`- 7`