To find the slope (m) of the equation, you use the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now you plug in the points into the formula
[tex]m = \frac{7 - 0}{3 - 0} = \frac{7}{3}[/tex]
[tex]y = \frac{7}{3} x + b[/tex]
Now you need to find b, to do so you plug in either of the points into the equation.
[tex]0 = \frac{7}{3} (0) + b[/tex]
0 = b
The equation of the line is:
[tex]y = \frac{7}{3}x[/tex]
