How do you write the slope intercept form of the equation passing through the point (-6,5) and parallel to the line y=2x-2?

Apr 1, 2015

The equation is $y = 2 x + 17$

The general equation for a straight line is:

$y = m x + c$

So

$5 = - 6 m + c$

The other line is parallel and has the same slope so $m = 2$

So $5 = - \left(6 \times 2\right) + c$

$c = 17$

So the equation of the line is:

$y = 2 x + 17$