Question

Find an equation of the line. Write the equation in the standard form.
Through (4,3); parallel to 7x-y=7
(Simplify your answer. Type your answer in standard form)

Answer 1

@johnweldon1993 :)

Answer 2

Your turn for this one :P

So we have the line

\[\large 7x - y = 7\]

How can you make that look like \(\large y = mx + b\) ?

Answer 3

7=7x-y

Answer 4

We want the 'y' by itself on one side of that '=' sign...so lets try adding y to both sides of the equation...and then subtracting 7 from both sides

\[\large 7x - y = 7\]

afterwe add y to both sides we have

\[\large 7x = 7 + y\]

and after we subtract 7 from both sides we have

\[\large y = 7x - 7\]

make sense there??

Answer 5

yep

Answer 6

So again...parallel lines...what will be the slope of the line?

Answer 7

the same slope

Answer 8

Which is?

Answer 9

Remember it is 'm' in the equation y = mx + b

so it looks like the slope is 7 correct?

Answer 10

parrallel lines have the same slope

Answer 11

correct

Answer 12

So now we know the slope...and we have the point again...so

\[\large y - y_0 = m(x - x_0)\]

plug in the \(\large x_0 = 4\) and \(\large y_0 = 3\) and also m = 7

Answer 13

\[\large y - 3 = 7(x - 4)\]

so distribute the 7

\[\large y - 3 = 7x - 28\]

and add 3 to both sides of the equation

\[\large y = 7x - 25\]


did all that make sense? :)

Answer 14

okay

Answer 15

That didnt sound too reassuring lol whats confusing you there? :)

Answer 16

No I actually do get it for the first time now haha you're really good at explaining things!

Answer 17

Oh good ^_^ haha I'm glad then :) anything else you need help with hun?

Answer 18

nope thats all for now thanks again you're awesome dude

Answer 19

Glad to help :)

Answer 20

wait a sec its saying that y=7x-25 is wrong?

Answer 21

Ohhhh oh oh they want it in standard form...my apologies

They want it to look like

\[\large -7x + y = -25\]

Answer 22

oh goody it worked kudos :D

Answer 23

Lol sorry about that :P

Answer 24

dont even worry bout it