Ine l has equation 2x - 3y = 5. line m passes through the point (3, -10) and is parallel to line l. determine the equation for line m. a.2x + 3y = -24 b.2x - 3y = 36 c.2x - 3y = -10 d.3x + 2y = -24

First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form , and consider the coefficient . So, we have

So, the slope of line L is 2/3.

Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).

When you are given the slope and a point of a line, its equation is given by

So, if you plug your values, you have

which you can simplify into

step-by-step explanation: