Question

Write an equation of the line with the given slope that contains the given point.c) R(15,10), slope 4/5

Answer 1

Answer: For the following given points and slope.

`\begin{gathered} R(15,\text{ 10) } \\ m=(4)/(5) \end{gathered}`

We are going to write the equation of the line that has these points in them.

`\begin{gathered} y=mx+b \\ y(x)\text{ =}(4)/(5)x+b \\ \rightarrow x=15 \\ \rightarrow y=10 \\ \therefore\rightarrow \\ 10=(4)/(5)*15+b=12+b\rightarrow b=-2 \\ \therefore\rightarrow \\ y(x)=(4)/(5)x-2 \end{gathered}`

This is the equation of the line that contains the given point!