Question

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

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

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=(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=(1-5)/(-1-3)(x-3)`

`y-5=(-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.