Question

The graph shown is a direct variation. What is the rate of change?https://lcboe.owschools.com/media/o_coordalg_ccss_2014/1/5x.gif

Answer 1

same as the slope
do you know how to find it?

Answer 2

Take any points and plug them into here:

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

Answer 3

any points on the line*

Answer 4

k=y/x?

Answer 5

actually not necessary in the case of direct variation is it?

Answer 6

(5,25) (10,50)

Answer 7

just pick a point
i pick (10,50) slope is second number over the first
\[\frac{50}{10}=5\]

Answer 8

lol yal just taught me way more than what my teacher has lol

Answer 9

also note that \[\frac{25}{5}=5\] too

Answer 10

use the points (10,50) and (0,0)

Answer 11

with direct variation you don't use two points
it is the second number divided by the first

Answer 12

glad to help, hope it is clear

Answer 13

yes

Answer 14

rate of change, \[\frac{dy}{dx}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{50-0}{10-0}=\frac{50}{10}=5\]

Answer 15

Yes thank all of you im not gunna give a medal because all of you helped me understand and i am extremely grateful!!! THANK YOU!!!!!!!!!!!!