Question

What is the slope of the line between (–4, 4) and (–1, –2)?

Answer 1

slope: `color(blue)(-2)`

Explanation:

Slope is defined as the change in `y` divided by the change in `x` between two points.

Given the general points `(x_1,y_1)` and `(x_2,y_2)`
Slope `=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)`

For the given example
`color(white)("XXX")(x_1,y_1)=(-4,4)` and
`color(white)("XXX")(x_2,y_2)=(-1,-2)`

Slope `= ((-2)-4)/((-1)-(-4))=(-6)/(+3)=-2`