Which line is parallel to the line y=-3x+1 and passes through the point (-1,2)

Answer 1

Hey! Lets solve this shall we ?

So, we must find the equation parallel to the given line y = -3x + 1 that passes through the point (-1,2). So, we will need that point and use the same slope from the given line since parallel lines have the same slope by definition! Then, we plug those values into the point-slope formula such that,

y - y1 = m(x - x1)

y - 2 = (-3)(x - (-1))

y - 2 = (-3)(x + 1)..........Then distribute the -3 inside such that

y - 2 = -3x - 3..........Finally, add 2 to both sides to get

y = -3x - 1

I hope this helped!