Question

What is the slope of the line shown below? PLEASE HELP

Answer 1

Answer:

C. 2

Step-by-step explanation:

The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.

Your line goes up to the right, so its slope is positive.

The only answer choice that is a positive number more than 1 is ...

... C. 2

_____

The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.

Then the ratio of rise to run is 10/5 = 2. This matches answer C.