Question

Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5.

Answer 1

@xo_kansasprincess_xo can you identify the slope of line given there?
that what is the slope of y=-2x-5 ?

Answer 2

-2

Answer 3

2x-5=y? Is that the answer?

Answer 4

so any parallel line to the line y=-2x-5 will have the same slope

Answer 5

so we know we have the following so far:
y=-2x+b
where we need to find the y-intercept b

Answer 6

2x-5=y? Is that the answer?

Answer 7

no y=2x-5 isn't parallel to y=-2x-5

Answer 8

anyways you are given the x-intercept to be 2
that is you are given a point on your line (2,0)
use (2,0) to find b
in the equation y=-2x+b

Answer 9

Okay...

Answer 10

Soooo now what?

Answer 11

I was asking you to find b in the equation y=-2x+b
given (2,0)

Answer 12

(2,0) means when x=2 we have y=0

Answer 13

0?

Answer 14

let me know when you have tried solving for b

Answer 15

Is it 0? I just tried.

Answer 16

@freckles

Answer 17

ok (2,0) means I'm going to replacee x with 2 and y with 0
we had y=-2x+b
so now I have 0=-2(2)+b
I know 2 times 2 is 4
so -2 times 2 is -4
so we have 0=-4+b

Answer 18

so b isn't going to be 0 because 0+(-4) isn't 0

Answer 19

So how am I supposed to find out what it is?

Answer 20

you are suppose to find b

Answer 21

can you solve 0=-4+b

Answer 22

HOW?

Answer 23

4?

Answer 24

bingo you add 4 on both sides to isolate the b
0+4=-4+b+4
4=(-4+4)+b
4=0+b
4=b

Answer 25

so your equation that is parallel to y=-2x-5 going through (2,0) is y=-2x+4

Answer 26

So now what? Lol

Answer 27

It has to be in standard form

Answer 28

ok put y=-2x+4 in standard form then

Answer 29

earlier I wrote 2x+y=-5 out of standard form by subtract 2x on both sides
y=-2x-5 where this is call slope-intercept form
so if I wanted it back in standard form I would add 2x on both sides


but anyways you have y=-2x+4
and to get this in standard form you would do what to both sides?

Answer 30

2x-4=-y

Answer 31

@freckles

Answer 32

well standard form is ax+by=c

you only had one step to perform to get y=-2x+4 into that form
add 2x on both sides

Answer 33

I was told to multiply by -1 to make it more accurate... @hartnn told me this on a previous post of mine.

Answer 34

So is the answer is -2x+4=y?

Answer 35

http://openstudy.com/users/xo_kansasprincess_xo#/updates/550078e9e4b04dec79279748
once you had it in -5x+3y=-44
he probably concluded to multiply both sides by -1
so he can have a positive integer c instead of a negative one
but it doesn't matter unless you have a very strict definition in your algebra class for standard form



we don't have extra work to do here
but you sure are make it that way :p

Answer 36

again y=-2x+4 is slope intercept form
you said you wanted the answer in standard form
I suggested you add 2x on both sides
you still haven't done that

Answer 37

I don't understand!

Answer 38

y=-2x+4
I'm asking you to add 2x on both sides
2x+y=2x-2x+4 like this
2x+y=0+4 since 2x-2x=0
2x+y=4 since 0+4=4

this is actually in the form
ax+by=c
which is called standard form

Answer 39

@sleepyjess

Answer 40

if you don't understand anything I said above please let me know

Answer 41

I still don't understand what you're trying me to say.

Answer 42

Ok can you tell me which part

Answer 43

I thought I had the answer. That's all I had to for the other questions.

Answer 44

Well I thought I gave you the answer when I added 2x on both sides for ya

Answer 45

but if you don't tell me what part I need to explain over it makes it kinda difficult what I need to put emphasis on

Answer 46

Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5.


parallel lines have the same slope
x-intercept is in form (k,0) where


to find the slope of 2x+y=-5
we will put this in slope intercept form
to do this I will subtract 2x on both sides
y=-2x-5
now this is in y=mx+b form
m is the slope
that is what we want to identify
m=-2
the slope is -2

any parallel line will also have the slope -2

so we know linear functions are in the form
y=mx+b
we just found the m we want our line to have
we want m to be -2
so I'm going to replace m with -2
y=-2x+b
but what is b (the y-intercept)
well we can find b by using the point we were given on the line
we were give the x-intercept of this line is (2,0)
we are given the point (2,0) is on this line
(2,0) means I'm going to replace x with 2 and y with 0
in the equation
y=-2x+b
0=-2(2)+b
0=-4+b since -2 times 2 is -4
4=b by adding 4 on both sides

you have the equation y=-2x+4 now

now to put in standard you add 2x on both sides

2x+y=2x-2x+4

2x+y = 0 +4 since 2x take away 2x is zero
2x+y = 4 since 0+4 is 4

Answer 47

again 2x+y=4 is in standard form
because it is in the form ax+by=c
where a=2 and b=1 and c=4

Answer 48

That's the answer I had

Answer 49

it isn't the answer you showed me

Answer 50

My bad lol. It's what I had written down, just didn't type it on here. Oops @freckles lol. Thanks so much:)

Answer 51

ok have a good day