Question

Write and graph a direct variation equation that passed through the given point. (5,-3)

Answer 1

`y=-0.60x`

The graph in the attached figure

Explanation:

we know that

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

step 1

Find the constant of proportionality k

we have the point (5,-3)

`k=y/x`

substitute

`k=-3/5=-0.6`

The equation is

`y=-0.60x`

using a graphing tool

The graph in the attached figure