Question

what is the perpendicular line of y=-5x+13

Answer 1

perpendicular slopes are negative reciprocals so in this case the slope would be 1/5

Answer 2

but how do i figure out the y intercept or is it going to be the same??

Answer 3

y=mx+b
b is always the y intercept so i this case the y intercept is 13

Answer 4

so the y intercept doesn't change?

Answer 5

whenever an equation is in y=mx+b form the b is the y intercept
the number changes with every problem though

Answer 6

i get that b is always the y intercept i mean is the answer going to be y=1/5x+13 or is going to have a different y intercept from 13

Answer 7

No

Answer 8

so i can make the y-intercept which ever point i want or is there a way for me to figure it out?

Answer 9

Hi Sooch :)
No the y-intercept will not necessarily be the same.

In order to find your new y-intercept, you must be given more information.
Usually a problem like this is worded as:

"Find the equation of the line which passes through the point ( * , * ) and is perpendicular to y=-5x+13."

We weren't given enough information to find your y-intercept.

Answer 10

my teacher didn't give any points the question just says "the line through the origin that is perpendicular to the graph of y=-5x+13"

Answer 11

That is a point being given silly! :)
The origin is the point (0,0), right?

Answer 12

So you figured out this much so far.\[\Large\rm y=\frac{1}{5}x+b\]Plug in your (0,0) to find your b value! ^^

Answer 13

so b is going to equal 0?

Answer 14

\[\Large\rm 0=\frac{1}{5}\cdot0+b\]Mmm good good!

Answer 15

\[\Large\rm y=\frac{1}{5}x\]Yay good job \c:/

Answer 16

thank you so much