Question

What is the slope of the line passing through the following points: #(0,3),(-5,-2) #?

Answer 1

Slope: `(+1)`

Explanation:

Given the points:
`color(white)("XXX")(x_1,y_1)=(0,3)`
`color(white)("XXX")(x_2,y_2)=(-5,-2)`

By definition
`color(white)("XXX")"slope" = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

In this case
`color(white)("XXX")"slope" = (-2-3)/(-5-0) = (-5)/(-5) = 1`