Question

a line through (1,-4) and (-5,2) is perpendicular to the line through (8, y) and (-6, -7) Find y

Answer 1

find the slopes from these points and relate them in this manner
m1 = -1/m2
you will get y

Answer 2

(1,-4) and (-5,2)
can you find the slope from these points???

Answer 3

-6/4?? correct??

Answer 4

numerator is correct, try again for denominator....

Answer 5

(-4-2) /(1-(-5)) =... ?

Answer 6

6 also??

Answer 7

yes, so the slope is -6/6 =-1
then what will be the slope of perpendicular line ??

Answer 8

m1 = -1/m2
m2=-1

Answer 9

A line that is perpendicular to another line has the form \[\large m= -\frac1m\] original line (m1)
\[m_{1} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{2+4}{-5-1}=\frac{6}{-6}=-1\] andif the slope of the perpendicular line is the negative opposite reciprocal, your outcome would have to be the opposite of the slope we found,
\[\large m_{2}=\frac{-7-y}{-6-8}= \frac{?}{-14}\] what number would you subtract from 7 to give you a positive outcome at the end?