Question

Input the equation of the given line.The line including (2, 3) and (2, 5) Input the equation of the given line.The line including (2, 3) and (2, 5) @Mathematics

Answer 1

The x coordinates are the same and equal to 2.


So the equation of the line is x = 2, and this is a vertical line that cuts through 2 on the x axis

Answer 2

Ok

Answer 3

y=2x+

Answer 4

no it's simply x = 2 and no y terms are involved

Answer 5

Ok thanks can you help with another

Answer 6

Input the equation of the given line in standard form.The line including (3, 1) and (-2, 3).

Answer 7

step 1 is to find the slope, how do we do that?

Answer 8

y1-y2
x1-x2

Answer 9

good, so subtract the corresponding coordinates like you have


what do you get when you do that?

Answer 10

-2/5

Answer 11

yep, that's what I got too

Answer 12

so the slope is -2/5, which means that m = -2/5

Answer 13

now plug this into y - y1 = m(x-x1)

Answer 14

Oh

Answer 15

y-1=-2/5(x-3)

Answer 16

does y = 2x + 7

Answer 17

y-1=-2/5(x-3) is correct

Answer 18

now convert to standard form, are you familiar with that?

Answer 19

No I dont think so

Answer 20

The idea is to convert y - y1 = m(x - x1) into the form

Ax + By = C

which is known as standard form

Answer 21

Oh

Answer 22

ok

Answer 23

so how do we convert?

Answer 24

well I don't know.

Answer 25

To convert, follow the steps below


y-1=-2/5(x-3)


5y-5=-2(x-3)


5y-5=-2x+6


2x+5y = 6+5


2x+5y = 11

Answer 26

Ok, then after that convert to y=mx=b

Answer 27

no that's it because they want it in standard form

Answer 28

Oh, Ok let me see if it is right

Answer 29

Awesome man... Can you show me how to do this problem?

Answer 30

you mean go over it again?

Answer 31

No I have a new concept, and I am trying to study for a quiz.

Using the given equations, find the point of intersection. If there is no point of intersection, type no points .

6 x - 2 y = 5
3 x - y = 10

The lines intersect at

Answer 32

what do you notice about the ratio between corresponding coefficients?

Answer 33

They are the same is that what you mean?

Answer 34

I mean what's the relationship between 6 and 3 (the x coefficients)?

Answer 35

Ok I think I got it.

6x-2y=5
-2(3x-y=10)
6x-2y=5
-6x+2y=-20

Answer 36

Is that what we are looking for?

Answer 37

yes now add the equations

Answer 38

0+0=-15

Answer 39

so you basically get 0 = -15, which is NEVER true

Answer 40

so what does that mean?

Answer 41

So it is a no point? (As stated in the question)

Answer 42

yes, there are no points of intersection

Answer 43

Let me see if it correct... Lol

Answer 44

Yup, I will figure this out... can you follow to see if I am correct?

Answer 45

Using the given equations, find the point of intersection. If there is no point of intersection, type no points . Leave answers in fractional form.

3 x + 2 y = 6
4 x + y = 1

The lines intersect at __________

Answer 46

ok show me what you got