# How do you write the equation of the line in the form AX+BY=C if m=6, (2,2)?

Sep 17, 2015

$6 x - 1 y = 10$

#### Explanation:

Given that a line passes through $\left(2 , 2\right)$ and has a slope of $m = 6$,
we can write the equation for the line in point-slope form as:

$\left(y - 2\right) = 6 \left(x - 2\right)$

Simplifying the right side:

$y - 2 = 6 x - 12$

Add $12$ to both sides

$y + 10 = 6 x$

Subtract $y$ from both sides

$10 = 6 x - y$

Reverse the sides:

$6 x - 1 y = 10$

(in standard $A x + B y = C$ form)