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=(y_2-y_1)/(x_2-x_1)`

`m=(3-4)/(3-2)`

`m=(-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)`.