Question

Write an equation of the line in point slope form that passes through the points (x,y) =(0,2) and (x,y)=(7,1). Find the point slope form by using (7,1) as the primary point.

Answer 1

The point-slope form of a line is given by

`y-y_1=m(x-x_1)`

where m is the slope and

`\begin{gathered} (x_1,y_1)=(7,1) \\ (x_2,y_2)=(0,2) \end{gathered}`

are the given points.

The slope can be founded by

`m=(y_2-y_1)/(x_2-x_1)=(2-1)/(0-7)=-(1)/(7)`

By using the first point as the primary one, the answer is:

`y-1_{}=-(1)/(7)(x-7_{})`