Question

What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?

k = –8/5
k = –5/8
k = 5/8
k =8/5

Answer 1

@ganeshie8

Answer 2

Well take a look here - http://www.regentsprep.org/regents/math/algebra/AO4/Ldirect.htm -

We know the formula for Direct Variation is \(\color{blueviolet}{k=\dfrac{y}{x}}\)

What is the x coordinate and the y coordinate in (5, 8)

Answer 3

x=5 y=8

Answer 4

Correct, so plug in the info \(\color{blueviolet}{k=\dfrac{8}{5}}\)