Question

Find the equation of the line that passes through (1,4) and is parallel to 3 x + y + 2 = 0. Leave your answer in the form y = m x + c.

Answer 1

`y=-3x+7`

Explanation:

`3x+y+2=0\\y+2=-3x\\y=-3x-2\\\\y=-3x+b\\4=-3(1)+b\\4=-3+b\\7=b\\\\y=-3x+7`

Remember that the equation of a parallel line has the same slope but different y-intercept.