Question

A mountain climber starts in a cave, then climbs up the mountain. After 1 hour, he is 6 m under ground. After 4 hours, he is 6 m above ground.

Which of the following equations models the elevation of the climber y over time, x?

Answer 1

In Point Slope Form: y+6=4(x-1)

Explanation:

First you have to find the points given which are:

• (1, -6) and (4, 6)

Label the points x1, y1, x2, and y2

• It already gives you the slope which is 4.

Plot the points in the equation of Point Slope Form:

y1-y2=m(x-x1)

• y1-6=4(x-1)

Simplify: y1-6=4x-4

• y=4x+2

It doesn't ask you to simplify but why not!