Question

Is 12-0.2x nonproportional

Answer 1

Part a) Is a non-proportional linear equation

Part b) The slope of the line is not 0.2, the slope of the line is equal to -0.2

Explanation:

The complete question is

Is the equation y=12-0.2x non-proportional? Is the slope of the line 0.2?

Part a) Is the equation y=12-0.2x non-proportional?

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

we have

`y=12-0.2x`

This line not passes through the origin, because the line has a y-intercept equal to (0,12)

therefore

Is a non-proportional linear equation

Part b) Is the slope of the line 0.2?

we have

`y=12-0.2x`

This is the equation of the line in point slope form

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`m=-0.2\\b=12`

therefore

The slope of the line is not 0.2, the slope of the line is equal to -0.2