Find the slope of the line through points (3, -5) and (2, -9).

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

Find the slope of the line between 2 points.

Slope = `(rise)/(run) = (Deltay)/(Deltax)`

The points (3, -5) and (2, -9)

So, `(-5 - (-9)) / (3 - 2)`

`4/1 = 4`

Therefore, the slope between the 2 given points is:  `4`  

tiburtius's profile pic

tiburtius | High School Teacher | (Level 2) Educator

Posted on

Slope of the line passing through points `(x_1,y_1)` and `(x_2,y_2)` is

`k=(y_2-y_1)/(x_2-x_1)` .

So in your case the slope is `k=(-9-(-5))/(2-3)=(-4)/-1=4`

aszerdi's profile pic

aszerdi | Student, Undergraduate | (Level 1) Valedictorian

Posted on

Slope(m) can be found by taking the difference of the y values over the difference of the x values. That is to say, slope is the rise divided by the run. This value is expressed by the following equation:

m= (y2-y1)/(x2-x1), where coordinates are (x1,y1) and (x2,y2)

In this problem: x1=3, y1=-5, x2=2, and y2=-9.

When plugged into the equation:   m= (-9 - (-5))/(2-3)

                                                  m= (-4)/(-1)

                                                  m = 4

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