Question

Fine the slope of a line that passes through (-2,-3) and (1,-1)

Answer 1

`\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-3)}{1-(-2)}\implies \cfrac{-1+3}{1+2}\implies \cfrac{2}{3}`

Answer 2

The slope of the line that passes through
`(-2, -3)` and
`(1, -1)` is
`(2)/(3)`.

Explanation:

The slope of a line is represented by
`(y_(2)-y_(1))/(x_(2)-x_(1))`, where the variables are
`(x_1, y_1), (x_2, y_2)`.

Now, we can substitute the variables into the equation.

`((-1)-(-3))/(1-(-2))`

Now just solve the equation.

`((-1)-(-3))/(1-(-2))=(2)/(3)`