Question

Find the slope of the line passing through the points A(2,-2) and B(-3,7)

Answer 1

Take into account that the slope between two points with coordinates (x1,y1) and (x2,y2) is given by:

`m=(y_2-y_1)/(x_2-x_1)`

In this case, you have:

(x1,y1) = (-3,7)

(x2,y2) = (2,-2)

Replace the previous values into the formula for m and simplify:

`m=(-2-7)/(2-(-3))=(-9)/(2+3)=(-9)/(5)=-(9)/(5)`

Hence, the slope of the line between the given points is -9/5