Question

Find the direct variation equation which passes through (0, 0) and (4, 1)

Answer 1

direct variation :
y = kx

here, k is the slope.

Answer 2

you know the slope formula when two points are given ?

Answer 3

not really

Answer 4

okay,

slope between (x1, y1) and (x2, y2) = \(\huge \frac{y2-y1}{x2-x1}\)

k = slope between ( 0, 0) and ( 4, 1) = \(\huge \frac{1-0}{4-0} = \frac{1}{4}\)

just plugin "k" in :
y = kx


the direct variation equation becomes,
\(\huge y = \frac{1}{4}x\)

Answer 5

@DNADRE does it help ?

Answer 6

yea

Answer 7

glad to hear :)