Question

Find the slope of a line perpendicular to y=-2/5x+4/5

5/4
5/2
2/5
-5/2

Answer 1

is this multiple choice?

Answer 2

yes maam

Answer 3

than -5/2 would be the answer

Answer 4

mahalo

Answer 5

thank you very much

Answer 6

@scarlettred

Answer 7

actually no. It's supposed to be the opposite

Answer 8

what's the slope of -> y=-2/5x+4/5 ?

Answer 9

what is it then ? @jdoe0001 @melody16

Answer 10

well.. what do you think is the slope of y=-2/5x+4/5 ?

Answer 11

If you know what the slope of that equation is then it's the opposite.

Answer 12

2/5 ? @melody16

Answer 13

idk, i suck at math badly @jdoe0001

Answer 14

hmm well. notice your equation is in slope-intercept form, that means \(\large \begin{array}{llll}
y=&{\color{brown}{ \frac{2}{5}}}x&+\frac{4}{5}\\
&\uparrow &\uparrow \\
&{\color{brown}{ slope}}&y-intercept
\end{array}\)

Answer 15

see the slope now?

Answer 16

but theres the negative sign in front of the 2/5

Answer 17

it's a negative slope j

Answer 18

ohh yeah... shoot ok \(\large \begin{array}{llll}
y=&{\color{brown}{ -\cfrac{2}{5}}}x&+\cfrac{4}{5}\\
&\uparrow &\uparrow \\
&{\color{brown}{ slope}}&y-intercept
\end{array}\)

Answer 19

see the slope of that equation now?

Answer 20

yes

Answer 21

so now we know the slope is -2/5
the slope of a line that is PERPENDICULAR to that equation line, will be NEGATIVE RECIPROCAL that is \(\bf -\cfrac{2}{{\color{brown}{ 5}}}\qquad negative \to +\cfrac{2}{{\color{brown}{ 5}}}\qquad reciprocal\to +\cfrac{{\color{brown}{ 5}}}{2}\)