Question

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).

Answer 1

@tuugongomdal
when two lines are parallel, their slopes are equal
in order to find the eqn passing through points (x1,y1) , use slope point form which is defined as
y-y1 = m (x-x1)

Answer 2

what do i do?

Answer 3

do u know what do u want to determine in the problem?
here u r not gonna get direct solutions. U have to work with us.
BTW welcome to this amazing world of openstudy

Answer 4

thanks and are you asking for the possible answers?

Answer 5

no i m not asking for the possible answers
but i want to know how did u approach the problem so that u can be helped in a better way

Answer 6

i dont understand what you mean by approach the problem. i have no idea how to do it at all

Answer 7

seems u didnot attempt the ques

Answer 8

i cant attempt something i have not a clue to do, thats why im here so i can be taught

Answer 9

u must have learn some concepts, thats y u r doing problems

Answer 10

lets do this ques hope i can help u

Answer 11

in the problem , equation of the line is given . U need to determine the equation that is parallel to the line and passing through some point
equation of the line y = 2x + 2 is in the form of slope intercept form which is defined as
y = mx+c where m is slope of the line
can u determine the slope of the line?

Answer 12

i dont remember how

Answer 13

u need to compare the equation of the given line with slope intercept form

Answer 14

nevermind your not helping very well

Answer 15

it seems so
i think other ppl will help u in the better way

Answer 16

@UnkleRhaukus

Answer 17

one common form of a straight line is \[y=\color{brown}mx+\color{teal}b\]
where \(\color{brown}m\) is the slope or gradient
and \(\color{teal}b\) is \(y\)-intercept



can you tell me the slope of your line?
\[y = \color{brown}2x + \color{teal}2\]

Answer 18

line that are parallel have the same \(\color{brown}{\text{slope}}\)

Answer 19

once you have the slope \(\color{brown} m
\), plug in the co-ordinates \((\color{orange}5, \color{green}3)\)
\[\color{green}y=\color{brown}m\color{orange}x+\color{teal}b\]
and solve the equation for \(\color{teal}b\) .


Your final solution wil be
\[y=\color{brown}mx+\color{teal}b\]