Question

Which set(s) of points show x in DIRECT PROPORTION to y?

A) {E, C, B} only
B) {G, C, A} only
C) {F, E, D} and {E, C, B} only
D) {F, G, H} and {G, C, A} only

Answer 1

Answer:D){F, G, H} and {G, C, A} only

Explanation:

Answer 2

Answer: OPTION D.

Explanation:

For this exercise it is important to remember that:

1. Direct proportion equations have the following form:

`y=kx`

Where "k" is the constant of proportionality.

2. The graph of Direct proportions is an straight line that passes through the origin.

Observe the picture attached.

If you join the points G, C and A, you get a straight line that passes through the origin,

If you join the points F, G and H, you also get a straight line that passes through the origin,

Therefore, the sets of points show "x" in Direct proportion to "y", are:

`\{F, G, H\}` and
`\{{G, C, A}\}`