Question

Can someone help me with the question please

Answer 1

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Explanation:

The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).

Think of it this way:

`y = ax+b \\`

here
`b = 0` so
`y = ax`

The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.

Take for example this one:

`y = 2x \\`

Take
`x=2\\` therefore
`y =4`

Now take
`y = 4x` and take
`x =2` therefore
`y = 8`

When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.

Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.