Question

Write the equation of the line using the given slope and pointm=3 (1,5)

Answer 1

- The formula for finding the equation of a line is given below:

`\begin{gathered} m=(y-y_1)/(x-x_1) \\ \\ where, \\ (x_1,y_1)\text{ is the coordinate given to us} \\ m\text{ is the slope of the line} \end{gathered}`

- We have been given the following parameters:

`\begin{gathered} m=3 \\ (x_1,y_1)=(1,5) \end{gathered}`

- Thus, we can find the equation of the line as follows:

`\begin{gathered} 3=(y-5)/(x-1) \\ \\ \text{ Cross multiply} \\ y-5=3(x-1) \\ \text{ Expand} \\ \\ y-5=3x-3 \\ \text{ Add 5 to both sides} \\ \\ y=3x-3+5 \\ \\ \therefore y=3x+2 \end{gathered}`

Final Answer

The equation of the line is

`y=3x+2`