# How do you write the equation in point slope form given Slope=8, passing through (4,-1)?

Jul 18, 2016

The point-slope equation of the line is $y + 1 = 8 \left(x - 4\right)$

#### Explanation:

The point-slope form of the equation of a line is

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Where

$m =$ slope, and the point is $\left({x}_{1} , {y}_{1}\right)$

$m = 8$
${x}_{1} = 4$
${y}_{1} = - 1$

$y - \left(- 1\right) = 8 \left(x - 4\right)$

$y + 1 = 8 \left(x - 4\right)$