Question

Match the equation and the description non-proportional Realationship

Answer 1

Answer:

A. $y =\frac{7}{8}x+1$

B. $y = -10x$

C. $y = 2.5x - 7$

D. $y = 1.2x$

E. $y = -5x -8$

Step-by-step 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 $y =\frac{7}{8}x+1$ 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