Question

How do you find the slope given (-4, -3) and (0,4)?

Answer 1

Slope: `7/4`
`color(white)("XXX")`This could be written as `1.75` but it is often more convenient to have the slope expressed as a ratio

Explanation:

By definition, the slope of a line between two points is the difference between the y-coordinate values divided by the difference between the x-coordinate values:

For the example with `(x,y)` coordinates `color(magenta)(""(-4,-3))` and `color(green)(""(0,4))`
the slope is
`color(white)("XXX")(Deltay)/(Deltax)=(color(magenta)(-3)-color(green)4)/(color(magenta)(-4)-color(green)0)=(-7)/(-4)=7/4(=1.75)`