# How do you write the equation in slope-intercept form of the line that is parallel to y=5x+6 but goes through the point (2,-3)?

Nov 11, 2016

Please see the explanation for how I obtained the equation: $y = 5 x - 13$

#### Explanation:

Substitute 2 for x, -3 for y, and 5 for m into the slope-intercept form, $y = m x + b$:

$- 3 = 5 \left(2\right) + b$

Solve for b:

$b = - 13$

The equation is:

$y = 5 x - 13$