Question

Find the equation of the line with the points (1,4) (2,5) and y-intercept of -2 Show Your Work

Answer 1

The slope =

`(y_2-y_1)/(x_2-x_1)=(5-4)/(2-1)=(1)/(1)=1`

The equation of the line is;

`\begin{gathered} y-y_1=\text{slope(x}-x_1) \\ \\ y-4=1(x-1) \\ y-4=x-1 \\ -x+y=4-1 \\ -x+y=3 \end{gathered}`