Question

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

Answer 1

Solution

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

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

- 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:

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

Final Answer

The equation of the line is

$y=3x+2$