# How do you write the equation in point slope form given Point: (5, 9); Slope: 2?

Mar 22, 2016

For this line in the form $y = m x + c$ we find that the value of $c$ is $- 1$ and we are told that the value of $m = 2$, so:

$y = 2 x - 1$

#### Explanation:

Point slope form for the equation of a line is $y = m x + c$, where $m$ is the slope (gradient) and $c$ (some people use $b$ instead) is the y-intercept.

In this case we can substitute in the values we have to find the value of $c$: $9 = 2 \left(5\right) + c \to 9 = 10 + c \to c = - 1$.

Given that, the equation of the line in point slope form is:

$y = 2 x - 1$