Question

find the equation in point slope form of the line that lasses through the point (1,2) with the slope m=2/3

Answer 1

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

$\begin{gathered} b=y-mx \\ b=2-\frac{2}{3}1 \\ b=2-\frac{2}{3} \\ b=\frac{4}{3} \end{gathered}$

The equation of the line that passes through the point (1,2) with a slope of 2/3

$y=\frac{2}{3}x+\frac{4}{3}$$y-2=\frac{2}{3}(x-1)$