Question

What is the slope of the line passing through the following points: `(-4, -3); (0,4)`?

Answer 1

Slope: `7/4`

Explanation:

For any two points `(x_1,y_1)` and `(x_2,y_2)`
the slope is given by the formula
`color(white)("XXX")m=(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For this example
`color(white)("XXX")(x_1,y_1)=(-4,-3)`
`color(white)("XXX")(x_2,y_2)=(0,4)`

So the slope is `m = (4-(-3))/(0-(-4)) = 7/4`