Em2andria0kategany
Answered

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

Verified Answer :

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.

TaeKwonDoIsDead

Answer:

C


Step-by-step 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 \(\frac{-3}{1}\)

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.

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