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

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.

Answer 2

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.