Question

Linear Functions / G3. A line contains the points (1, 2) and (5,- 4). You will need to find the slope of theline, write two point-slope equations of the line, and graph the line.

Answer 1

Given data:

The first point is (1, 2).

The second point is (5, -4).

The slope of the line is,

`\begin{gathered} m=(-4-2)/(5-1) \\ =(-6)/(4) \\ =-1.5 \end{gathered}`

Thus, the slope of the line is -1.5.

The equation of the line is,

`\begin{gathered} y-2=-1.5(x-1) \\ y-2=-1.5x+1.5 \\ y=\text{ -1.5x+3.5} \end{gathered}`

Thus, the equationn of the line is y=-1.5x+3.5.

The graph of the line is shown below.