# What is the equation in point-slope form of the line passing through (–2, 1) and (4, 13)?

##### 1 Answer

Apr 5, 2015

The **Point-Slope form** of the Equation of a Straight Line is:

- To find the Equation of the Line in Point-Slope form, we first need to
**Determine it's Slope**. Finding the Slope is easy if we are given the coordinates of two points.

Slope(

The coordinates given are

Slope(

- Once the Slope is determined, pick any point on that line. Say
#(-2,1)# , and**Substitute**it's co-ordinates in#(h,k)# of the Point-Slope Form.

We get the Point-Slope form of the equation of this line as:

- Once we arrive at the Point-Slope form of the Equation, it would be a good idea to
**Verify**our answer. We take the other point#(4,13)# , and substitute it in our answer.

As the left hand side of the equation is equal to the right hand side, we can be sure that the point

- The graph of the line would look like this:

graph{2x-y=-5 [-10, 10, -5, 5]}