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:

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

$m=\dfrac{3-0}{4-2}$

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

The slope of the line is $m=\dfrac{3}{2}$ and the point is (4,3). So, the point slope form of the given graphed line is:

$y-3=\dfrac{3}{2}(x-4)$

Therefore, the point slope form of the given line is $y-3=\dfrac{3}{2}(x-4)$.