Question

WILL FAN AND MEDAL!!!!
I need help can someone please help explain how they get this answer?

Write and equation for the line that is parallel to the given line and passes through the given point.
y=2x+4;(3,8)
A.y=2x+2
B.y=2x+6
C.y=-2x+6
D. y+-1/2x+2

I know the correct answers A because I got it wrong on a test and it is telling me the right answer and now have to explain how to get the right answer. Can somebody help me explain how to step-by-step get this answer?

Answer 1

i can help you

Answer 2

hmm

Answer 3

ok, do you know how to recognize if two lines are paralell?

Answer 4

@HannahC234

Answer 5

eh sorta doesn't the slopes have to be the same?

Answer 6

@baru

Answer 7

yes, exactly

Answer 8

do you know which term in the equations represent slope?

Answer 9

2x+4?

Answer 10

no,
if you have an equation, for example

y= 10x +7

what is the slope of this equation?

Answer 11

10? maybe I have no idea.

Answer 12

yes,

what you have to do is simple
compare it to the standard form of a line, which is

y= mx + c

m is slope

Answer 13

oh okay thank you!!!

Answer 14

@HannahC234

Answer 15

following?

Answer 16

yes thank you!

Answer 17

so slope =2
only options A and B have slope =2

Answer 18

remember, to find slope, you have to bring the equation to the standard form
y = mx + c

Answer 19

choosing between A and B is a simple matter of substituting the point (3,8) into the equation.

which ever option gives you left side of the equation= right side, is the correct answer

Answer 20

Thank you so much!!!!

Answer 21

sure :)