# What is the equation of the line with slope  m=4  that passes through  (4,5) ?

##### 1 Answer
Jan 20, 2016

$y = 4 x - 11$

#### Explanation:

Equation of a straight line in slope-intercept form is given by the expression
$y = m x + c$,
where $m$ is the slope and $c$ is the $y -$intercept.
To calculate $c$ we need to plug in given values in the above equation:
$5 = 4 \times 4 + c$
solving for $c$ we obtain
$c = - 11$

The required equation is

$y = 4 x - 11$