Question

How do I solve this???​

Answer 1

Explanation:

The equation of a proportional relationship: y = mx.

METHOD 1:

We know: If x and y are in a proportional relationshi, then the ratio y/x is constant

`(y)/(x)=const.`

We have P(3, 2) and Q(x, 6). Therefore

`(2)/(3)=(6)/(x)` cross multiply

`2x=(3)(6)` divide both sides by 2

`x=(18)/(2)`

`x=9`

METHOD 2:

(look at the picture)

The graph of y = mx is a straight line passes through the origin.

Step 1.

Plot point P(3, 2) on the graph.

Step 2.

Draw the line passes through he origin and point P.

Step 3.

Draw the line y = 6 (6 from the coordinates of Q(x, 6))

Step 4.

The intersection of lines is the point Q. Read the coordinte x.