Question

Tell whether equation represents direct variation. If so, identify the constant of variation

1. Y=8x
Ans: yes, it represents direct variation because
its in the form Y=kx. Constant of variation: 8

2. Y=2x+1

3. 3x+y=6

Please help, not too sure if I am understanding this correctly. Completed first problem.

Answer 1

First problem is correct.
A direct variation will have the y-intercept as zero, so it is in the form
y=kx, where k is a constant.
In other words, a direct variation is a straight line that passes through the origin.
Q2 and Q3 are not direct variations, because the y-intercepts are 1 and 6 respectively.

Answer 2

y=2x+1 yes 2x