Question

The equation of a line is y = –2x + 1. What is the equation of the line that is parallel to the first line and passes through (2, 2)?

Answer 1

Any ideas?

Answer 2

no...

Answer 3

Please try :-)

Answer 4

subtract y from -2x?

Answer 5

What do parallel lines have in common?

Answer 6

they both pass 2?

Answer 7

Nope, they have the same slope.

Answer 8

whats the final answer

Answer 9

Parallel lines have the same slope and will never intersect.

Answer 10

@sophie999nevermind
just walk with skullpatrol step by step to reach your destiny!

Answer 11

im guessing its y=1/2x+1

Answer 12

for the same slope:
the slope of our line is m=-2
then it passes through the point (2,2)
and the formula of a line with a slope m and passes through a point (x_1,y_1) is
\[y-y_1=m(x-x_1)\]
just plug the coordinates of this point (2,2) in this formula:
\[y-2=m(x-2)\]
\[y-2=-2(x-2)\]
\[y=-2(x-2)+2\]
\[y=-2x+4+2\]
\[y=-2x+6\]

Answer 13

Your guess would be the equation of a line perpendicular to the given line @sophie999nevermind

Next time, making a sketch may help.