# How do you write the equation of a line through point (4,2); slope = 3?

##### 1 Answer
Dec 8, 2016

$y = 3 x - 10$

#### Explanation:

The general equation of a straight line is:
$\text{ }$
$y - {y}_{A} = a \left(x - {x}_{A}\right)$
$\text{ }$
where $A \left(x , y\right) \text{ }$is the point the straight line passes through and
$\text{ }$
$a \text{ }$ is the slope.
$\text{ }$
The equation of the line is:
$y - 2 = 3 \left(x - 4\right)$
$\text{ }$
$y = 3 x - 12 + 2$
$\text{ }$
$y = 3 x - 10$