Options
-7 Over 3
3 Over 7
7 Over 3
-3 Over 7
Options
-7 Over 3
3 Over 7
7 Over 3
-3 Over 7
To solve this problem, you must know the formula for slope, which is
m=(y_{2}-y_{1})/(x_{2}-x_{1}), where m is the slope, and the two points are defined as (x_{1},y_{1}) and (x_{2},y_{2}). We are given two points, (-6,-6) and (-3,1). You can choose either one to be (x_{1},y_{1}) and (x_{2},y_{2}), and in this case I will name (-6,-6) as (x_{1},y_{1}) and (-3,1) as (x_{2},y_{2}). 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