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What Is correct slope of the line that passes through the points (-6, -6) and (-3, 1)


-7 Over 3

3 Over 7

7 Over 3

-3 Over 7

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Amanda E. | Patient Mathematics TutorPatient Mathematics Tutor
5.0 5.0 (42 lesson ratings) (42)

To solve this problem, you must know the formula for slope, which is

m=(y2-y1)/(x2-x1), where m is the slope, and the two points are defined as (x1,y1) and (x2,y2).  We are given two points, (-6,-6) and (-3,1).  You can choose either one to be (x1,y1) and (x2,y2), and in this case I will name (-6,-6) as (x1,y1) and (-3,1) as (x2,y2).  Therefore, m=(1-(-6))/(-3-(-6)).  This becomes m=(1+6)/(-3+6), which when we add gives us m=7/3.  


Alison R. | Eager (and reasonably priced) math, English, and physics tutor!Eager (and reasonably priced) math, Engl...

Slope is informally defined as the "rise" over (or divided by) the "run."  Or in simpler terms, how much a line goes up divided by how much the line goes to the right.  The formula to calculate the slope of a line that goes through points (x_1,y_1) and (x_2, y_2) is (y_1 - y_2)/(x_1 - x_2).  in this case x_1 = -6, x_2 = -3, y_1 =-6 and y_2 = 1.  Therefore the slope of this line is -7/-3 or just 7/3