Respuesta :
Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is
[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]
[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]
[tex]y-5=1(x-3)[/tex]
Therefore, the point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.
