Question

Does the equation represent a direct variation?
-4x + 3y = 0

Yes, 4
Yes, 3/4
Yes, 4/3
Yes, - 4/3
no

Answer 1

\[-4x+3y=0\]
\[3y=4x\]
\[y=4x/3\]

Yes, 4/3. For every y increase of 4, x will increase by 3.

Example: \[y=4x/3\]
\[f(x)=4x/3\]
\[f(0)=4(0)/3=0/3=0\]
f(0+3)=f(3)=4(3)/3=12/3=4

(0,0) to (3,4). This function as linear, or line equation. If you show it on graph paper it makes a straight line.