0

# 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)?

### 2 Answers by Expert Tutors

Don L. | Fifteen years teaching and tutoring basic math skills and algebraFifteen years teaching and tutoring basi...
5.0 5.0 (3 lesson ratings) (3)
0
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?
David W. | Experienced ProfExperienced Prof
4.4 4.4 (47 lesson ratings) (47)
0
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]