Question

Which of the following equations represents a line through the points?

Answer 1

In order to find the equation of the line, using the points given to solve the slope of the line

$m=\frac{y_2-y_1}{x_2-x_1}$$\begin{gathered} m=\frac{13-9}{3-2} \\ m=\frac{4}{1} \\ m=4 \end{gathered}$

then, using one of the points find the y-intercept

$\begin{gathered} y=4x+b \\ 9=(4)(2)+b \\ 9=8+b \\ b=9-8 \\ b=1 \end{gathered}$

The equation of the line is

$y=4x+1$