Question

How will the graph of line y = -3x+8 be affected if the 8 is changed to -3?

A. The y-intercept will be moved 3 units downward.

B. The y-intercept will be moved 5 units downward.

C. The y-intercept will be moved 11 units downward.

D. The x-intercept will be moved 3 units to the left.

E. The x-intercept will be moved 11 units to the left.​

Answer 1

C.

Explanation:

The -3x tells you the slope (rise/run). In this case, it will go downward because it is negative. It will have a slope of 3/1. The +8 or -3 is the y intercept and tells which direction the original line will go from its' starting point. So you would add those together to know which way the line moves.

Answer 2

C

Explanation:

A y intercept lies on the y axis.

This means that the movement will happen with the y intercept, on the y axis.

8 is the original y intercept.

It is now changed to -3.

-3 is lower than 8 on the y axis so we are moving downward.

Now, to find the number of squares it moves, we can find the difference between 8 and -3.

8-(-3)=11

Therefore, The y-intercept will be moved 11 units downward.