Question

Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 2x+ 7; (3, 11)
how would you solve this??

Answer 1

Complete this sentence: two parallel lines have the ________ _________ .

Answer 2

Thus, the slope of the new line is ______ .

Answer 3

well it would have the same slope

Answer 4

and the slope would still be 2x

Answer 5

Substitute the x and y value first or you to be able to proceed on solving. The number on the left is the x and on the right is y. Can you solve it now?

Answer 6

yea ik how to do that but it would be y=2x then how would the y change

Answer 7

it could be 5 or -19

Answer 8

The slope is 2, not 2x. Take this into account.
One way of solving this would be to:
1) start with y = 2x+ 7
2) throw out the constant, 7
3) substitute the given values for x and y
Calculate the new constant, which will replace 7.
Write out the new equation, involving x and y.

Answer 9

ok but what is the point needed for??

Answer 10

Because you are writing the equation of a straight line that passes through that particular point.

y = 2x+ 7 passed thru (0,7).
Find the equation of the line that is parallel to y = 2x+ 7 and which passes thru (3,11).