Input data
Point = (1, 2)
m = 2/3
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
[tex]\begin{gathered} b=y-mx \\ b=2-\frac{2}{3}1 \\ b=2-\frac{2}{3} \\ b=\frac{4}{3} \end{gathered}[/tex]The equation of the line that passes through the point (1,2) with a slope of 2/3
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex][tex]y-2=\frac{2}{3}(x-1)[/tex]