How do you write the point slope form of the equation given (2,0) parallel to y=1/3x+3?

Jun 9, 2018

$y - 0 = \frac{1}{3} \left(x - 2\right)$

Explanation:

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

•color(white)(x)y=mx+c

$\text{where m is the slope and b the y-intercept}$

$y = \frac{1}{3} x + 3 \text{ is in this form}$

$\text{with slope } = \frac{1}{3}$

• " Parallel lines have equal slopes"

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=1/3" and } \left({x}_{1} , {y}_{1}\right) = \left(2 , 0\right)$

$y - 0 = \frac{1}{3} \left(x - 2\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$

$\text{or } y = \frac{1}{3} \left(x - 2\right)$