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(1)/(2)`.

Explanation:

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

`m=(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=(-4-3)/(-2-(-4))\\\\\Rightarrow\ m=(-7)/(-2+4)\\\\\Rightarrow\ m=(-7)/(2)=-3(1)/(2)`

The slope of a line passing through points (-4,3) and (-2, -4) is
`-3(1)/(2)`.