Question

Write the slope intercept equations for the following lines and sketch the graph

Answer 1

Given the points;

`(3,3)\text{ and }(6,9)`

The slope, m, of a line is;

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ \text{ Where;} \\ \\ x_1=3,y_1=3,x_2=6,y_2=9 \end{gathered}`
`\begin{gathered} m=(9-3)/(6-3) \\ \\ m=(6)/(3) \\ \\ m=2 \end{gathered}`

Thus;

`\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-3=2(x-3) \\ \\ y=2x-6+3 \\ \\ y=2x-3 \end{gathered}`

Thus, the slope-intercept equation is;

`y=2x-3`

And the graph is;