SOLUTION: What is the slope of the line that passes through the points (7, -9) and (-13, -6) a. -3/20 b. 3/20 c.3/4 or d.5/2

Algebra ->  Linear-equations -> SOLUTION: What is the slope of the line that passes through the points (7, -9) and (-13, -6) a. -3/20 b. 3/20 c.3/4 or d.5/2      Log On


   



Question 735256: What is the slope of the line that passes through the points (7, -9) and (-13, -6) a. -3/20 b. 3/20 c.3/4 or d.5/2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of the line that passes through the points (7, -9) and (-13, -6) a. -3/20 b. 3/20 c.3/4 or d.5/2
There are two ways to do it:

First way:

1.  Plot the two points:

  

2. Draw the line:



Draw a vertical rise (which is really a "fall" and a horizontal run from one
point to the other, so as to form a right triangle with the line:




Counting blocks for the rise, the rise is 3, but it's -3 because it goes
downward from the line. Counting blocks for the run, the run is 20.

So the slope is rise over the run or -3%2F20.

--------------

Second way:

By the slope formula:

m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

where (x1,y1) = (7,-9)
and where (x2,y2) = (-13,-6)

Plug in:

m = %28%28-6%29-%28-9%29%29%2F%28%28-13%29-7%29

m = %28-6%2B9%29%2F%28-13-7%29

m = %283%29%2F%28-20%29

m = -3%2F20

Edwin