Question

Can someone help me with the question please

Answer 1

Answer:

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Step-by-step 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.