Question

What is the slope intercept form that passes through the given point and is perpendicular (3,2), y=x+5

Answer 1

find the negative reciprocal of the slope

Answer 2

Can someone walk though it with me

Answer 3

and once you do, plug in the negative reciprocal of the equation along with the given point (3,2) into the point slope formula

Answer 4

so what is the negative reciprocal of the slope?

Answer 5

-5?
Y=x+5

Answer 6

y=x+5
1x is the reciprocal, if x is left alone that means there's an invisible 1 and it is the slope of the equation

Answer 7

Ok then wut do I do?

Answer 8

the negative reciprocal of 1x the slope is -1
reciprocal means Interchanged

Answer 9

now what's next?

Answer 10

i mentioned the next step earlier :)

Answer 11

But wut do I do with the (3,2) part

Answer 12

you'll plug in the negative reciprocal of 1x which is -1 and the given point (3,2) into the point slope formula. Do you still remember the point slope formula?

oh and by the way, perpendicular is the reverse of the given slope but with parallel lines, the slope is the same it is not changed

Answer 13

Is the answer y=3x -1

Answer 14

no

Answer 15

what is the point slope formula?

Answer 16

?

Answer 17

y-y1=m(x-x1)
m is the slope which is -1
x1,y1 is the given point (3,2)

Answer 18

can you plug those in the formula

Answer 19

Y-2=-1(x-3)

Answer 20

yes, now distribute -1 into x-3 to isolate the parenthesis

Answer 21

Y= -1x-3 ?

Answer 22

no,
-1*x = -1x
and -1*-3= +3
combine them
-1x+3

Answer 23

clear?

Answer 24

so y-2=-1x+3

Answer 25

Now, what's next?

Answer 26

what should you do to isolate y?

Answer 27

Is the answer y= -1x+1