Question

1. What is the slope of the line joining the points (2,5) and (7,15).

Answer 1

To calculate the slope of a line you have to use the following formula

$m=\frac{y_1-y_2}{x_1-x_2}$

Where

(x₁,y₁) are the coordinates of one point on the line

(x₂,y₂) are the coordinates of a second point on the line

For the points (2,5) and (7,15), the slope of a line that crosses them is:

$m=\frac{15-5}{7-2}=\frac{10}{5}=2$

The slope of the line is m=2