Question

Given the points. (0,3) and (-9,-7) and on a line, find its equation in the form y=mx+b.y=

Answer 1

First, we need to find the slope m using the following equation:

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ where: \\ (x1,y1)=(0,3) \\ (x2,y2)=(-9,-7) \\ so: \\ m=(-7-3)/(-9-0)=-(10)/(-9)=(10)/(9) \end{gathered}`

Now, using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-3=(10)/(9)(x-0) \\ y-3=(10)/(9)x \\ Solve_{\text{ }}for_{\text{ }}y: \\ y=(10)/(9)x+3 \\ Answer: \\ y=(10)/(9)x+3 \end{gathered}`