Question

Write the equation of the line that passes through the points (3,5) and (-1,1). Put

Answer 1

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

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is

$y-5=\dfrac{1-5}{-1-3}(x-3)$

$y-5=\dfrac{-4}{-4}(x-3)$

$y-5=1(x-3)$

Therefore, the  point slope form of the line in fully reduced form is $y-5=1(x-3)$, here 1 is the slope of the line.