Question

Find the slope of the line that passes through (10,9) and (5,18)

Answer 1

We are given the following two points

`(10,9)\: \text{and}\: (5,18)`

Let us find the slope of the line that passes through these points

The slope of the line is given by

`m=(y_2−y_1)/( x_2−x_1)`
`\text{where}\: (x_1,y_1)=(10,9)\: \text{and}\: (x_2,y_2)=(5,18)`

Let us substitute the given points into the above slope formula

`m=(18-9)/(5-10)=(9)/(-5)=-(9)/(5)`

Therefore, the slope of the line that passes through the points (10, 9) and (5, 18) is found to be -9/5