Question

Find the slope of the line through the pair of points by using the slope formula. (-4,3) and (-2, -4) The slope of the line is (Type an integer or a simplified fraction.)

Answer 1

Answer: $-3\dfrac{1}{2}$.

Step-by-step explanation:

We know that the slope of a line passing through points (a,b) and (c,d) is given by :_

$m=\dfrac{d-b}{c-a}$

The given points : (-4,3) and (-2, -4)

Now, the slope of the line passing through points (-4,3) and (-2, -4) is given by :-

$m=\dfrac{-4-3}{-2-(-4)}\\\\\Rightarrow\ m=\dfrac{-7}{-2+4}\\\\\Rightarrow\ m=\dfrac{-7}{2}=-3\dfrac{1}{2}$

The slope of a line passing through points (-4,3) and (-2, -4) is $-3\dfrac{1}{2}$.