# How do you write an equation in point-slope form for the given (0, 6), (3,0)?

Mar 19, 2018

$y - 0 = - 2 \left(x - 3\right)$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y-y_1=m(x-x_1)

$\text{where m is the slope and "(x_1,y_1)" a point on the line}$

$\text{to calculate m use the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(0,6)" and } \left({x}_{2} , {y}_{2}\right) = \left(3 , 0\right)$

$\Rightarrow m = \frac{0 - 6}{3 - 0} = \frac{- 6}{3} = - 2$

$\text{use either of the given points as a point on the line}$

$\text{using "(3,0)" then}$

$y - 0 = - 2 \left(x - 3\right)$

$\Rightarrow y = - 2 \left(x - 3\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$