# How do you write the point slope form of the equation given (-3,-3) parallel to y=7/3x+3?

Sep 2, 2016

The equation is $y = \frac{7}{3} x + 4$.

#### Explanation:

Parallel slopes mean equal slopes.

Hence, by point-slope form:

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

$y - \left(- 3\right) = \frac{7}{3} \left(x - \left(- 3\right)\right)$

$y + 3 = \frac{7}{3} x + 7$

$y = \frac{7}{3} x + 4$

Hopefully this helps!