# How do you write an equation of the line in point slope form that passes through the given point: (8,-8) ; slope; 3?

May 18, 2016

The slope-intercept form of the equation of the line is
$y = 3 x$

#### Explanation:

The slope-intercept equation of a line is $y = m x + b$ where
$m =$ slope and $b =$ the y-intecept

For this equation we are given the slope of $m = 3$ and the point (8,-8)

The point slope formula would be written as
$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$m = 3$
${x}_{1} = 8$
${y}_{1} = - 8$

$y - \left(- 8\right) = 3 \left(x - 8\right)$

$y + 8 = 3 x - 24$

$y \cancel{+ 8} \cancel{- 8} = 3 x - 8 + 8$

$y = 3 x + 0$

The slope-intercept form of the equation of the line is
$y = 3 x$