# How do you find the equation of the line that goes through (3, -5) and (5, 4)?

##### 2 Answers

See below

#### Explanation:

The method is called Two point form ( At least in my school )

The method is

let

3 =

-5 =

5 =

4 =

To find an equation passing through these two points,

Where y and x are all the points on the equation, that has to be found out.

Now plugging in the values,

#### Explanation:

Begin by finding the slope via the slope formula:

If we let,

Then,

Now that we have the slope, we can find the equation of the line by using the point-slope formula:

Where

Thus, the equation of the line is...

**Equation in point-slope form**

We can rewrite the equation above in

**Equation in #y=mx+b# form**