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-(2)/(3)1 \\ b=2-(2)/(3) \\ b=(4)/(3) \end{gathered}`

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

`y=(2)/(3)x+(4)/(3)`
`y-2=(2)/(3)(x-1)`