Question

Find the slope, if it exists, of the line containing the points (-4,0) and (-5, -3).

Answer 1

We are given the following two points

(-4, 0) and (-5, -3)

The slope is given by

`m=(y_2-y_1)/(x_2-x_1)`
`\text{where }(x_1,y_1)=(-4,0)\; \text{and }(x_2,y_2)=(-5,-3)`

Let us substitute the given values into the slope formula

`m=(y_2-y_1)/(x_2-x_1)=(-3-0)/(-5-(-4))=(-3)/(-5+4)=(-3)/(-1)=3`

Therefore, the slope of the line is 3