Question

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, 2).

y = -2x - 4

y = 2x + 2

y = negative 1 over 2x - 4

y = 1 over 2x + 2

Answer 1

@cwrw238

Answer 2

One quick look will tell you that. Parallel lines will have the same slope. So what is the slope of y = 2x + 1. You can find the slope because in y = mx + b form, the slope is in the m position. Once you find the slope, compare it to your answer choices and the one with the same slope is the answer.

Answer 3

Tjis one you can do that way because there is only one answer choice that has the same slope. But if you like, I can show you the long way to do it because if you had tow answer choices with the same slope, you would have to work it out.

Answer 4

oops...typo...this one you can do that way...

Answer 5

B ?

Answer 6

yep...its that simple

Answer 7

cooooooooooooooooooooooooooooooooooooooooooooooooool

Answer 8

thank you :D

Answer 9

but if you like, I can work it out.....because if there were 2 answer choices with the slope of 2, we would have to work it out by using our points....you want me to show you or not ?

Answer 10

I will show you anyways....just in case you get a problem like that..

y = 2x + 1
slope = 2
parallel lines have same slope

now use y = mx + b
slope(m) = 2
(0,2)...x = 0 and y = 2
now we sub and since we already know slope(m), we need to find y intercept(b)
y = mx + b
2 = 2(0) + b
2 = b

so your parallel equation is : y = 2x + 2

Answer 11

thank you sooooo much!