Question

Find the slope of the line that passes through (4,7) and (2,8).

Answer 1

We are given the following two points

`(4,7)\: \text{and}\: (2,8)`

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)=(4,7)\: \text{and}\: (x_2,y_2)=(2,8)`

Let us substitute the given points into the above slope formula

`m=(8-7)/(2-4)=(1)/(-2)=-(1)/(2)`

Therefore, the slope of the line that passes through the points (4, 7) and (2, 8) is found to be -1/2