Question

Which equation represents the line that contains the point (-2, 9) and is perpendicular to the line y = 2x + 6?
A. y = -(1/2)x – 7
B. y = -(1/2)x + 8
C. y = -(1/2)x + 11
D. y = 2x + 13

Answer 1

perpendicular should have opposite slope
the slope of this line is y =2x+6
you have to do negative reciprocal to find perpendicular slope
for example if your slope is -a/b negative reciprocal -->b/a
flip it and change sign

Answer 2

now 2/1 <---- flip it and change sign(negative reciprocal)

Answer 3

were did youget 2/1

Answer 4

they gave you equation y =2x + 6 what is slope here ??

Answer 5

i dont know

Answer 6

remember slope intercept form equation is y =mx+b where m is slope and b is y-intercept
what is m in your equation ??

Answer 7

slope always with x

Answer 8

2?

Answer 9

yes right

Answer 10

ok nowwhat

Answer 11

you need perpendicular slope for new equation so perpendicular should be opposite sign and values should be reciprocal

Answer 12

now 2/1 <---- flip it and change sign

Answer 13

so its not d

Answer 14

its a

Answer 15

yes its not d

Answer 16

A b and c all have same slope so how you know its a
??

Answer 17

the sign is changed

Answer 18

correct?

Answer 19

what is slope of perpendicular equation ??

Answer 20

i dont know

Answer 21

i already explained how to find
now 2/1 <---- flip it and change sign
that's all you have to do to find slope of perpendicular equation

Answer 22

yes so is it a the signis changed

Answer 23

b and c the also have same signs -1/2

Answer 24

replace x and y by their values to find b