# How do you write the equation of the line passing through the points (3,4) and (1,-6)?

##### 1 Answer

#### Explanation:

There are several methods to choose from:

Method 1. Use the given points to find the gradient, then substitute one of the points as (x,y) as well as the slope (m), into

Then substitute the values of m and c to find the final equation.

Method 2. Make simultaneous equations using each point as an (x,y) but with m and c as the unknowns. Solve for m and c and substitute them into

Method 3. There is a neat formula for exactly this case. "Find the equation if you are given two points". Quick and easy!