Question

What is the slope of the line passing through the following points: `(1,-4), ( -3,2)`?

Answer 1

Slope: `(-3/2)`

Explanation:

In general the slope of a line between points `(x_1,y_1)` and `(x_2,y_2)` is
`color(white)("XXX")m=(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

When `(x_1,y_1)=(1,-4)` and `(x_2,y_2)=(-3,2)`
this becomes
`color(white)("XXX")m=(2-(-4))/((-3)-1) = 6/(-4) = -3/2`