Question

Help!!!!!
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).

Answer 1

the slope of \(y=2x+4\) is ?

Answer 2

do you know how to find the slope of a line if it is written in the form \(y=mx+b\) ?

Answer 3

\[\Large y=\color{green}mx+\color{red}b\]
\(\color{green}m\) is the slope, and \(\color{red}b\) is the \(y\) intercept

Answer 4

you have
\[\Large y=\color{green}2x+\color{red}4\]
what is \(\color{green}m\) in this example?

Answer 5

ok good
and so a parallel line will have a slope of 2 as well
look at your answers, i think there is only one in the form
\[\Large y=\color {green}2x+\color{red}b\]

Answer 6

kind of a silly question because you don't really need to know the other point for this
what is A?

Answer 7

hmmm does that look like \[\Large y=\color{green}2x+\color{red}b\]?

Answer 8

no because \(2\neq -2\) !!

Answer 9

forget the second part of the question, it is actually not important for this problem because you have only 4 choices, only one of which has a slope of \(2\)

Answer 10

so the question you need to answer is this: of your four choices, which one has a slope of \(2\), i.e. which one looks like \(y=2x+b\) ?

Answer 11

yes, that is the only possible answer

Answer 12

it would have been somewhat harder if you had a choice of more lines with a slope of 2, for example if you had both \(y=2x-8\) and \(y=2x+3\)
then we would have to find the equation to know which one was correct

Answer 13

yw