contestada

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.

Respuesta :

The point-slope form of a line is given by

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and

[tex]\begin{gathered} (x_1,y_1)=(7,1) \\ (x_2,y_2)=(0,2) \end{gathered}[/tex]

are the given points.

The slope can be founded by

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-1}{0-7}=-\frac{1}{7}[/tex]

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

[tex]y-1_{}=-\frac{1}{7}(x-7_{})[/tex]