Question

The line representing a proportional relationship always goes through the point (0,0). If x is zero, multiplying x by the constant will always give you 0 for y. Try it with our ice cream example. Make the independent variable, number of scoops, 0. The constant is 2. 0 × 2 = 0. The dependent variable is also 0. What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2? A (1,3) B (2, 4) C (2, 2) D (4, 2)

Answer 1

B (2, 4)

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the constant of proportionality k is given and is equal to

`k=2`

so

The linear equation is given by

`y=2x`

That means ----> the y-coordinate is two times the x-coordinate

therefore

The other point is B(2.4)

Because

For x=2, y=4

the y-coordinate is two times the x-coordinate

`4=2(2)\\4=4`