We are currently learning how to write an equation of the line that passes through the given point and is parallel to the given line

Question

I've been quarantined and have no idea what we're doing in class. Please someone help me understand this, our subject is examining correlation so if someone could explain that to me I would appreciate it so much!!

Answer 1

it probably makes more sense with a specific example.

y=mx+ b is the general form of an equation in slope intercept form, where m= slope and b= the y intercept

to be parallel, a line must have the same slope

y=2x +4 has slope =2. Any parallel line is of the form y=2x+b, so it has the same slope

if it passes through a point such as say (2,6) then plug that into y=2x+b to solve for b

6=2(2) + b

b = 6-4 = 2, so the parallel line through the point is y=2x+2