Question

HELP PLEASE!!
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2).

Answers: y = 2x + 4

y = negative 1 over 2x − 1 over 2

y = − 1 over 2x − 7 over 2

y = 2x − 8

Answer 1

step one
find the slope (with your eyeballs) of \( y = 2x + 4\)

Answer 2

2x?

Answer 3

well close, it is the number \(2\) without the variable

Answer 4

oh ok well 2

Answer 5

step 2
know that a parallel line has the same slope, so the slope of the line you are looking for is also \(2\)

Answer 6

so that leaves us with only answers a & b?

Answer 7

step3
write the points slope formula \(y-y_1=m(x-x_1)\) with
\[m=2,x_1=3,y_1=-2\]

Answer 8

actually leaves A and D right?

Answer 9

yes my mistake hold on im solving it now!

Answer 10

k

Answer 11

y-2=2(x-3), so y-2= 2x-6

Answer 12

careful here

Answer 13

oh now i add the 2 to the other side to cancel it out

Answer 14

\(y_1=-2\) so
\[y-y_1=y+2\] on the left

Answer 15

so y=2x-8?

Answer 16

yes

Answer 17

thank you!

Answer 18

yw
hope it is more or less clear