# Linear Equations Question

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I'm writing a linear equation given two points.

My points are (0,12) and (10,4).

My question is about the gradient

I know to find the gradient it is m=y2-y1/x2-x1

So, I did m=4-12/10-0 = -8/10 = -4/5

Now, my question is - Is the gradient going to be -4/5 or is it the bottom number aka 5?

My points are (0,12) and (10,4).

My question is about the gradient

I know to find the gradient it is m=y2-y1/x2-x1

So, I did m=4-12/10-0 = -8/10 = -4/5

Now, my question is - Is the gradient going to be -4/5 or is it the bottom number aka 5?

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#2

(Original post by

I'm writing a linear equation given two points.

My points are (0,12) and (10,4).

My question is about the gradient

I know to find the gradient it is m=y2-y1/x2-x1

So, I did m=4-12/10-0 = -8/10 = -4/5

Now, my question is - Is the gradient going to be -4/5 or is it the bottom number aka 5?

**PinkOneAmong**)I'm writing a linear equation given two points.

My points are (0,12) and (10,4).

My question is about the gradient

I know to find the gradient it is m=y2-y1/x2-x1

So, I did m=4-12/10-0 = -8/10 = -4/5

Now, my question is - Is the gradient going to be -4/5 or is it the bottom number aka 5?

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(Original post by

The gradient is the ratio ... not the denominator of that ratio.

**RDKGames**)The gradient is the ratio ... not the denominator of that ratio.

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#4

(Original post by

ummm could u explain more please

**PinkOneAmong**)ummm could u explain more please

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(Original post by

I am not sure why you would think that 'the bottom number' is the gradient?

**RDKGames**)I am not sure why you would think that 'the bottom number' is the gradient?

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#6

When you found m=-4/5, that's the gradient. m is the gradient so you just use that fraction

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#7

(Original post by

I watched a youtube video on how to write a linear equation from two co-ords, she said to find the m in y=mx+c you do the equation which I did

**PinkOneAmong**)I watched a youtube video on how to write a linear equation from two co-ords, she said to find the m in y=mx+c you do the equation which I did

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(Original post by

Yes so m = -4/5 in your case. Not 5.

**RDKGames**)Yes so m = -4/5 in your case. Not 5.

y=mx+b

12=-4/5(-4/5)+b

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

1. I don't understand how to take 16/25 off of 12 and

2. Is that the correct way to work it out or?

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#9

(Original post by

Okai, thankyou. It's just I watched two videos, the one took the bottom number whereas the other took the fraction so I was a bit lost. So if i turn those co-ords into a full equation how do I find the b? From the video I watched it says to do this -

y=mx+b

12=-4/5(-4/5)+b

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

1. I don't understand how to take 16/25 off of 12 and

2. Is that the correct way to work it out or?

**PinkOneAmong**)Okai, thankyou. It's just I watched two videos, the one took the bottom number whereas the other took the fraction so I was a bit lost. So if i turn those co-ords into a full equation how do I find the b? From the video I watched it says to do this -

y=mx+b

12=-4/5(-4/5)+b

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

1. I don't understand how to take 16/25 off of 12 and

2. Is that the correct way to work it out or?

2. Yes, that gives you the constant "c" and then you can just write it in the form y=mx + c

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(Original post by

1. just minus it with a calculator

2. Yes, that gives you the constant "c" and then you can just write it in the form y=mx + c

**ItsStarLordMan**)1. just minus it with a calculator

2. Yes, that gives you the constant "c" and then you can just write it in the form y=mx + c

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#11

(Original post by

Do I replace the c with the fraction or decimal answer?

**PinkOneAmong**)Do I replace the c with the fraction or decimal answer?

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(Original post by

m is the fraction as that is the gradient. c is the decimal. do you know what all the letter means in y=mx+c?

**ItsStarLordMan**)m is the fraction as that is the gradient. c is the decimal. do you know what all the letter means in y=mx+c?

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#13

It depends on what type of gradient the question is asking, if it's the normal then it's -1/gradient, if it's the tangent then it's -(gradient)

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#15

(Original post by

So would my final answer be y=-4/5x + 11.36

**PinkOneAmong**)So would my final answer be y=-4/5x + 11.36

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I have one last question, to work out b i did

y=mx+b

12=-4/5(-4/5)+b <<<----- For this step, is doing -4/5(-4/5) correct? Should It not be -4/5x1?

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

y=mx+b

12=-4/5(-4/5)+b <<<----- For this step, is doing -4/5(-4/5) correct? Should It not be -4/5x1?

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

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#17

(Original post by

I have one last question, to work out b i did

y=mx+b

12=-4/5(-4/5)+b <<<----- For this step, is doing -4/5(-4/5) correct? Should It not be -4/5x1?

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

**PinkOneAmong**)I have one last question, to work out b i did

y=mx+b

12=-4/5(-4/5)+b <<<----- For this step, is doing -4/5(-4/5) correct? Should It not be -4/5x1?

12=16/25+b

then to take 16/25 off of both sides so

12-16/25=b

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(Original post by

ah, my bad. I didn't realise. At that step, you need to sub in the value of x. I see you used coordinates (0,12) as you pute it equal to 12, so x=0 not -4/5. sorry

**ItsStarLordMan**)ah, my bad. I didn't realise. At that step, you need to sub in the value of x. I see you used coordinates (0,12) as you pute it equal to 12, so x=0 not -4/5. sorry

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#19

(Original post by

so instead would my final b value be 11.2?

**PinkOneAmong**)so instead would my final b value be 11.2?

y=12, m=-4/5 and x=0

y=mx+c

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