Question

The dancer at (4,1) needs hair gel. She moved to the right on a slope of 8. Where can you deliver her hair gel? Will you please provide a graph and a written detailed explanation? Thank you!

Answer 1

It is given that the dancer is at the point (4,1), and then moved to the right on a slope of 8.

It is required to find the point she can be located by showing a graph with a detailed explanation.

Recall that the slope is the measure of the steepness of a line calculated by dividing the vertical change by the horizontal change.

Since the slope is given as 8, and this can be written as 8/1. It follows that the vertical change is 8 and the horizontal change is 1.

To find the new point add 1 to the x-coordinate (which represents the horizontal) and 8 to the y-coordinate (which represents the vertical):

`(4,1)\rightarrow(4+1,1+8)=(5,9)`

Hence, the new position is at the point (5,9).

This is illustrated in the graph below:

The gel can be delivered at (5,9) as shown above.