Question

Write an equation for the line parallel to y = 3 + 2x that passes through the point (3, 2)

Answer 1

well you know that the slope of your line will be 2 correct from y=mx+b?

Answer 2

if you are looking for a line parallel to another line, their slopes will be the same

Answer 3

so you have 2 = your slope

Answer 4

now use your point slope formula (i think that is what it is)
(y-y1)=m(x-x1)

Answer 5

where y1 = 2 and x1 = 3

Answer 6

y-2=2(x-3)

Answer 7

y-2=2x-6
y=2x-4

Answer 8

so the equation y=2x-4 passes through point (2,3) and is parallel to y= 3+2x

Answer 9

An equation for the line parallel to "y = 3 + 2x" will have the same slope as "y = 3 + 2x"

the slope of "y = 3 + 2x" is 2.

so the equation you are looking for will be "y = z + 2x" where z is something you haven't figured out yet. To figure out was z is, plug in the x and y values of the point your equation must pass through (x = 3 and y =2)

y = z + 2x

plug-in x=3 and y=2

\[2 = z + 2*3\]
2= z + 6
-4 = z

so the equation your looking for is "y = -4 + 2x"

Answer 10

thanks