# How do you write the equation of the line with slope m = 3 and including point (3, 5)?

##### 2 Answers

Apr 6, 2016

The equation of a line is

and

Therefore,

where

If

which we can substitute back in to give

Apr 6, 2016

y = 3x - 4

#### Explanation:

One form of the equation of a line is : y - b = m(x - a )

where m represents the gradient (slope ) and (a,b) a point on the line.

here m = 3 and (a,b) = (3,5)

substituting these values into the equation.

y - 5 = 3(x - 3) → y - 5 = 3x - 9 → y = 3x - 4