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What is the slope of the line that passes through the points (-3, -10) and (5, -7)?

What is the slope of the line that passes through the points (-3, -10) and (5, -7)?
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2 Answers

Hi John, the slope of the line that passes through two points is given by:

S = (y1 - y2) / (x1 - x2)
 
It does not matter which point you pick as (x1, y1), the solution will be the same.
 
Slope through two points:
 
Let (-3, -10) represent (x1, y1)
 
Then:
 
S = (-10 - (-7)) / (-3 - 5)
 
S = -3 / -8
 
S = 3 / 8
 
The slope of the line that passes through the two points is: S = 3 / 8.
 
Questions?
The slope represented by the 'm' in the point-slope form of the equation of a line:
           y=mx + b
 
Slope is often called "rise over run" because it is the increase in the y-value divided by the increase in the x-value.
 
So for two points, P1 (-3, -10) and  P2(5, -7), the slope is:
    m = (y3 - y1) / (x2 - x1)
 
    m = (-7 -(-10)) / (5-(-3))
    m = 3 / 8         [note:  this means an increase of 3 y-units for an increase of 8 x-units]