Question

I need a little help here. I'm kinda stuck.

Answer 1

Ok how did you get that

Answer 2

I was using a calculator given to by my teacher to use, and somehow got confused in the process.

Answer 3

Ok, well what is the slope?

Answer 4

6 over 7

Answer 5

y= (y point2 - y point 1)/ (x point 2 - x point 1) multiplied by x + your y intercept value

then rearrange to get y and x on the same side

Answer 6

Ok so, we get slope from using \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} } = \frac{ -1-2 }{ -3-1/2 } = \frac{ -3 }{ -7/2 } \implies \frac{ 6 }{ 7 }\] so that's good, now lets try to get it in equation of a line form (y=mx+b) and we'll work about the rest later, to get b that is the y - intercept (where the line crosses the y - axis)

Answer 7

worry*

Answer 8

I need to find the y intercept now?

Answer 9

If so, the y-intercept would be 11 over 7. Right?

Answer 10

what is the y value when x is zero. that is the definition of the y-intercept value

Answer 11

no

Answer 12

Yes, 11/7

Answer 13

Okay so how would I find the standard form from there.

Answer 14

sorry i was just eye balling, your answer is correct my mistake

Answer 15

do you know how to move parts of equations to the other side of the equal sign?

Answer 16

Ok so we have \[y= \frac{ 6 }{ 7 }x+\frac{ 11 }{ 7 }\] correct?

Answer 17

Yes correct

Answer 18

And that is also the part were I get confused.

Answer 19

Lets start off by factoring out 1/7 so we get \[y= \frac{ 1 }{ 7 }(6x+11) \implies 7y = 6x+11\] so far so good?

Answer 20

Yes

Answer 21

Can you finish it off

Answer 22

I writing everything down so next time I won't forget

Answer 23

Yes I can

Answer 24

Alright, just to make sure, what's next?

Answer 25

is the next 6x-7y=-11?

Answer 26

All we have to do is subtract both sides by -6x

Answer 27

\[7y=6x+11 \implies 7y-6x=11\] right?

Answer 28

Now compare with your options

Answer 29

So my option would be B?

Answer 30

No, \[7y-6x=11 \implies -6x+7y=11\]

Answer 31

I'm sorry I was getting ready to correct myself, but yes it would be D

Answer 32

:)

Answer 33

Thank you for the help :)

Answer 34

Yw

Answer 35

the steps for standard form:
1) find the slope/m value: (y2-y1)/(x2-x1)
2) find the y intercept value: find b by plugging in a point
this can be done by choosing a point, and plugging the y value in for y and the x value in for x to the equations y = mx + b which creates (y point) = (slope value)(x point) + b
and then solve for b
3) use the y= (slope value)x + (y intercept value which is b value) and rearrange to have x and y on the same side. your equation should take on the form ax + by = c

Answer 36

Thank you I would write that down as well just to be on the safe side.

Answer 37

standard form is ax + by = c

Answer 38

yeah and if you struggle watch youtube videos. theres plenty of math help even for 1st year univeristy students. try and predict the steps of the youtuber. its a great way to get the hang of a difficult math (or poorly taught) concept

Answer 39

Also another method, if you want equation of a line:
First find the slope, using the following formula: \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\] where your coordinates represent \[(x_1,y_1)~~\text{and}~~(x_2,y_2)\]
Once you manage to get that, plug in m and your first coordinates in the point - slope form: \[y-y _{1}=m(x-x _{1})\] do some little algebra and eventually you will have slope - intercept form \[y=mx+b\]

mhm yes all of these are sort of the same with different formula that give you equation of a line :)

Answer 40

that is another great method as well!

Answer 41

Thank you