(-3,-4); y=-2x+5 equation for the line in slope-intercept form

Parallel lines have the same slope  and never coincide. So to write a line that passes through the given point and has slope -2, it is helpful to write this into point-slope form, . We use the given point, (-3, -4). Substituting this in, we get , or . Now, you should distribute the -2 and subtract four from both sides to get this into slope-intercept form, . Doing that, you get .

You can verify that it indeed satisfies the requirements because (-3, -4) is a solution of the equation. 

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