What is the slope of the line that passes through (1,2), (3, 10), (5, 18), and (7, 26)?

1 Answer
Tanini
Nov 7, 2017

slope = 4

Explanation:

The slope of a straight line is #"rise"/"run"# and is the same at any point on that line.

Let's pick the points (1,2) and (3,10). (any two points will work)

Starting at a y-value of 2, you had to "rise" up 8 units in the positive y-direction to get to a y-value of 10. Starting at an x-value of 1, you had to "run" over 2 units in the positive x-direction to get to an x-value of 3. The rise is 8 and the run is 2.

So, the slope is:

slope = #"rise"/"run"#

slope = #8/2#

slope = 4

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