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=\frac{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

$m=\frac{8-7}{2-4}=\frac{1}{-2}=-\frac{1}{2}$

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