Question

Consider the line y=-4x+5.

Find the equation of the line that is parallel to this line and passes through the point (-2, -5).

Answer 1

Answer: y=-4x-13

Explanation:

To find the parallel line, we know that the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is to find the y-intercept by plugging in the given point.

-5=-4(-2)+b [multiply]

-5=8+b [subtract both sides by 8]

b=-13

Now, we know that the equation is y=-4x-13.