Question

Write an equation of the line shown with point-slope form.

Answer 1

Given:

The line passes through the points (2,0) and (4,3).

To find:

The point-slope form of the given line.

Solution:

The point slop form of a line is:

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

Where, m is the slope and
`(x_1,y_1)` is the point.

The line passes through the points (2,0) and (4,3). So, the slope of the line is:

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

`m=(3-0)/(4-2)`

`m=(3)/(2)`

The slope of the line is
`m=(3)/(2)` and the point is (4,3). So, the point slope form of the given graphed line is:

`y-3=(3)/(2)(x-4)`

Therefore, the point slope form of the given line is
`y-3=(3)/(2)(x-4)`.