Question

QuestionFind the equation of a line that contains the points (-8, -2) and (-7,0). Write the equation in slope-intercept form.

Answer 1

In order to find the equation of the line, let's use the slope-intercept form of the linear equation and the given points:

`\begin{gathered} y=mx+b \\ \\ (-8,-2)\colon \\ -2=-8m+b \\ \\ (-7,0)\colon \\ 0=-7m+b\to b=7m \\ \\ -2=-8m+7m \\ -m=-2 \\ m=2 \\ \\ b=7\cdot2=14 \\ \\ y=2x+14 \end{gathered}`