Question

Find the slope of each line

Answer 1

To determine the slope of a line you need to know at least two points of the line.

The formula to determine the slope is:

`m=(y_1-y_2)/(x_1-x_2)`

Where

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

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

First, determine two points of the line, for example, you can use the point (2,1) as (x₁,y₁) and the y-intercept with coordinates (0,-2) as (x₂,y₂)

Then, replace the coordinates of both points on the formula to calculate the slope:

`\begin{gathered} m=(1-(-2))/(2-0) \\ m=(1+2)/(2) \\ m=(3)/(2) \end{gathered}`

The slope of the line on the graph is m=3/2