Question

consider the equation y = 8 - 3x. for every increase of 1 in the x- variable, what is the change in the y- variable?. a) increase of 3. b) increase of 8. c) decrease of 3. d) decrease of 8

Answer 1

C

Explanation:

The general form of a line's equation is
`y=mx+b`

Where,

• m [the coefficient of
  `x` ] is the slope
• b is the y-intercept

What is slope's interpretation?

The slope is the change in
`y` per unit of change in
`x`

For our problem, comparing
`y=8-3x` with the general form tells us that the slope is
`-3`. We can write
`-3` as
`(-3)/(1)`

Thus, we can say there is a change in
`y` of 3 units [decrease, because of negative sign] per unit change of
`x`

Hence, the change in
`y` variable is decrease of 3 units. Answer choice C is correct.

Answer 2

The change in the y-variable would be decrease of 3. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query about and it will be able to help you.