Question

Match the equation and the description non-proportional Realationship

Answer 1

A.
`y =(7)/(8)x+1`

B.
`y = -10x`

C.
`y = 2.5x - 7`

D.
`y = 1.2x`

E.
`y = -5x -8`

Explanation:

Let the descriptions be A to E.

First, we need to note the followings.

An equation is of the form

`y = mx + b`

`m = slope` and
`b = y\ intercept`

A. Non proportional graph with positive y intercept

From the list of options, only

The slope of
`y =(7)/(8)x+1` is positive

and y intercept is also positive

B. Negative slope and pass through the origin.

Negative slope means m is negative

From the list of options

`y = -10x` and
`y = -5x -8`

Origin implies (0,0)

i.e:
`x = 0` and
`y = 0`

For y = -10x

`0 = -10 * 0`

`0 = 0` --- This is true

For
`y = -5x -8`

`0 = -5 * 0 - 8`

`0 = 0 - 8`

`0 = -8` --- This is not true

Hence:

`y = -10x` fits this description

C. Increases from left to right and b is negative

For b is negative, we have the following:

`y = -5x -8` and

`y = 2.5x - 7`

An increment from left to right, means the slope is positive.

So, we have:

`y = 2.5x - 7`

D. Positive slope and contains (0,0)

From the options, we have the following functions left:

`y = -5x -8` and

`y = 1.2x`

But
`y = 1.2x` has a positive slope and also contain (0,0) because

`0 = 1.2 * 0`

`0 = 0`

E. Negative m and Negative b

`y = -5x -8` has these descriptions