Question

Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?A. Y=x+4B. Y=-x+12C. Y=-x+4D. Y=x+12

Answer 1

In order to find the equation that passes through both points, we can use the slope-intercept form of the linear equation:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Using the given points on this equation, we have:

`\begin{gathered} (-4,8)\colon \\ 8=m\cdot(-4)+b \\ b=8+4m \\ \\ (1,3)\colon \\ 3=m+b \\ 3=m+8+4m \\ 5m=3-8 \\ 5m=-5 \\ m=-1 \\ b=8+4\cdot(-1)=8-4=4 \end{gathered}`

Therefore the equation is y = -x + 4 (correct option: C)