Question

please help!!
Which choice could be the equation of a line perpendicular to the line represented by this equation? Be sure to explain your solution.

y = (2/5)x + 2

a. y = (2/5)x - 3

b. y = (5/2)x + 7

c. y = (-5/2)x - 3

d. y = -2x + 5

Answer 1

what is the slope of the given line

Answer 2

im not really sure how to work this

Answer 3

what is the given line first off

Answer 4

what is the equation of the given line

Answer 5

y = (2/5)x + 2?

Answer 6

good, would you agree that it's in slope intercept form?

Answer 7

yes it has to be

Answer 8

what is slope intercept form in general

Answer 9

(2/5)x?

Answer 10

is slope intercept form Ax+By = C? is it y = mx + b? or is it y-y1 = m(x-x1)

Answer 11

y=mx+b

Answer 12

good

Answer 13

what does m represent?

Answer 14

slope

Answer 15

so the slope is the number or fraction in front of the x

Answer 16

yees

Answer 17

in the case of y = (2/5)x + 2, the slope is 2/5

the x is NOT part of the slope

Answer 18

ok

Answer 19

to find the slope of any perpendicular line to this one, we flip the fraction and flip the sign


flip the fraction: 2/5 ----> 5/2

flip the sign: 5/2 ----> -5/2

Answer 20

so if the original slope is 2/5, then the perpendicular slope is -5/2

Answer 21

so which equation has a slope of -5/2 (in your answer choices)?

Answer 22

C

Answer 23

good, you got it

Answer 24

that's your answer

Answer 25

thank you :)

Answer 26

you're welcome