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

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2 Answers

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.  

 

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