Question

Find the slope of the line passing through the points (12,-3) and (5,-9) Detailed step by step

Answer 1

It is required that you find the slope of the line passing between two points.

The given points are:

`(12,-3),(5,-9)`

The formula for the slope of the line passing through two points (x₁,y₁) and (x₂,y₂) is:

`m=(y_2-y_1)/(x_2-x_1)`

Substitute the given points (x₁,y₁)=(12,-3) and (x₂,y₂)=(5,-9) into the formula:

`m=(-9-(-3))/(5-12)`

Calculate the value of m to find the slope:

`m=(-9+3)/(5-12)=(-6)/(-7)=\frac{\cancel{-}6}{\cancel{-}7}=(6)/(7)`

The required slope of the line is 6/7.