What is the equation of the line passing through #(13,7)# and #(4,2)#?
Use the two coordinate equation and rearrange into the form #y=mx+c
The Two Coordinate Equation
The general form of the two coordinate equation is
Applied to Your Example
In your example
Putting these values into the equation we get:
Next we can simplify it by cleaning up the denominators of both fractions to get:
Rearranging into the form
To rearrange into this form we must first get rid of the fractions. To get rid of the first fraction we can multiply both sides by -5.
Doing this gives us
To get rid of the second fraction we can multiply both sides by -9 to give us:
Next we can take away 63 from both sides to get y on its own:
Next we can divide by 9 to get
Finally we multiply by -1 to flip the signs: