Question

Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:

Answer 1

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point $(x_1,y_1)$ with slope m, then the point slope form of the line is

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

(2, 4) and (3, 3) are on the line. So, slope of the line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{3-4}{3-2}$

$m=\dfrac{-1}{1}$

$m=-1$

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

$y-4=-1(x-2)$

Therefore, an equation of the line in point slope form is $y-4=-1(x-2)$.