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=\frac{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

$m=\frac{18-9}{5-10}=\frac{9}{-5}=-\frac{9}{5}$

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