Question

What is the slope of the line passing through the points (0, −5) and (4, 2)?

Answer 1

To find the slope of a line between two points, you compute (y∨2 - y∨1) and divide it by (x∨2 -x∨1)

Here, that looks like (2 - (-5))/ (4 -0), which becomes, 7/4, which is your slope!

Answer 2

`(0,-5) \\ x_1=0 \\ y_1=-5 \\ \\ (4,2) \\ x_2=4 \\ y_2=2 \\ \\ \hbox{the slope } = (y_2-y_1)/(x_2-x_1)=(2-(-5))/(4-0)=(2+5)/(4)=(7)/(4)`

The slope is 7/4.