# How do you write the equation of a line in point slope form and slope intercept form given points (3,5) (0,0)?

May 3, 2015

Point slope form:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
Slope intercept form:
$y = m x + b$

Given points $\left(3 , 5\right)$ and $\left(0 , 0\right)$
the slope is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{5}{3}$

Using the slope $m = \frac{5}{3}$ and the point$\left(0 , 0\right)$ (which implies a y intercept of $0$)

Point slope form
$y - 0 = \frac{5}{3} \left(x - 0\right)$

Slope intercept form
$y = \frac{5}{3} x + 0$