Question

Lines from Two Points (Point Slope Form) Write the equation of the line that passes through the points (0,8) and (−1,−4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

`y=12x+8`

1) The first thing to do is to find out the slope of the line that passes through points (0,8) and (-1,-4). We can do this using the Slope Formula:

`m=(-4-8)/(-1-0)=(-12)/(-1)=12`

2) Now, we need to find out the linear coefficient "b". Let's pick a point and plug it into the Slope-Intercept Formula with the slope:

`\begin{gathered} y=mx+b \\ 8=12(0)+b \\ b=8 \end{gathered}`

3) Then the answer is:

`y=12x+8`