Question

What is the slope of the line that passes through `(-4, -4), (2, -2)`?

Answer 1

Slope = `\frac{\Delta y}{\Delta x}`

(`\Delta`= "change in", as in "change in the x direction")

`=\frac{y_2-y_1}{x_2-x_1}`

x1 is the leftmost point, x2 is the other one, and y1/y2 are the associated y coordinates. Also, if you don't know, a point (A,B) is given in the form (x-coordinate, y-coordinate)

`\frac{y_2-y_1}{x_2-x_1}=\frac{(-2)-(-4)}{(2)-(-4)}=\frac{2}{6}=\frac{1}{3}`

So the slope of this line is `1/3`

Just so you know, the actual line that goes through these points is
`y=1/3 x -8/3`