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on the homework it says : fine the gradients of these lines:
a) y = 5x
b) y = -7x
c) y = 12x
d) y =-1/4x



plz help :(

2006-12-09 22:26:40 · 10 answers · asked by Loz 2 in Science & Mathematics Mathematics

10 answers

Can't help with the question I'm not bright enough. But please use the spellchecker.

2006-12-09 23:19:00 · answer #1 · answered by bo nidle 4 · 0 0

The equation for a straight line is generally denoted as:
y = mx + c
where m = gradient, c = y-intercept and x and y are the coordinates of any points on the line.

So y = 5x would be the equation of a line with GRADIENT = 5 and cutting the origin as the y-intercept is 0.

Similarly,
b) Gradient = -7
c) Gradient = 12
d) Gradient = -1/4

2006-12-10 02:31:45 · answer #2 · answered by Kemmy 6 · 0 0

a million) 3y = 3 * y 2y = 2 * y -------------------- The lcd of 3y , 7y = 2 * 3 * y = 6y 4/3y = 8/6y 7/2y = 21/6y = = = = = = = = 2) 8x = 2 * 2 * 2 * x 12xy = 2 * 2 * 3 * x * y 6x = 2 * 3 * x -------------------------------- The lcd of 8x , 12xy , 6x is: 2 * 2 * 2 * 3 * x * y = 24xy (x + a million)/8x = (3xy + 3y)/24xy (3x - a million)/12xy = (6x - 2)/24xy a million/6x = 4y/24xy = = = = = = = = 3) x^2 - 4x - 5 = (x + a million) * (x - 5) x + a million = x + a million --------------------------------------... The lcd of x^2 - 4x - 5 , x + a million is: (x + a million) * (x - 5) = x^2 - 4x - 5 6/(x^2 - 4x - 5) = 6/(x^2 - 4x - 5) a million/(x + a million) = (x - 5)/(x^2 - 4x - 5) = = = = = = = = 4) a - 5 = a - 5 a + 5 = a + 5 --------------------- The lcd of a - 5 , a + 5 is: (a - 5) * (a + 5) = a^2 - 25 a/(a - 5) = (a^2 + 5a)/(a^2 - 25) (a - a million)/(a + 5) = (a^2 - 6a + 5)/(a^2 - 25) = = = = = = = = 5) x^2 - 9 = (x + 3) * (x - 3) 2x + 6 = 2 * (x + 3) ----------------------------------- The lcd of x^2 - 9 , 2x + 6 is: 2 * (x + 3) * (x - 3) = 2(x^2 - 9) = 2x^2 - 18 2/(x^2 - 9) = 4/(2x^2 - 18) a million/(2x + 6) = (x - 3)/(2x^2 - 18)

2016-11-30 09:32:21 · answer #3 · answered by ? 4 · 0 0

Gradient is commonly used to describe the measure of the slope..
remember the y = mx + b wherein the m is the slope and the b is the y intercept...
I'm very sure with this (i am a math teacher)
the answers are
a) 5
b) -7
c) 12
d) -1/4
It's very obvious because all the numerical coefficient of x is the answer for the gradient (slope)

2006-12-10 00:09:39 · answer #4 · answered by racz_jay25 2 · 0 0

1) Find two accurate points, reasonably apart, both in upper right quadrant if possible, (to keep all the numbers positive)
2) Find the change in Y axis and the change in X-axis by forming a triangle. Make sure you do this by using the scales on the Y and X- axis not by counting cm's.
3) use formula GRADIENT= VERTICAL / HORIZONTAL

e.g 1) (1,10) and (8,50)
2) the change in Y-axis = 50-10 = 40
the change in x-axis = 8-1 = 7
3) Gradient = 40/7 = 5.7

2006-12-09 22:39:45 · answer #5 · answered by SHIBZ 2 · 0 0

In the case of these equations the gradient is just the co-efficient of x

So for a), gradient is 5

2006-12-10 00:34:55 · answer #6 · answered by Matthew H 1 · 0 0

Gradient is rise over run, so relate that to a cartesian plane
y axis
I
I
I
------------ x axis
So rise over run = y/x

For for a) y = 5x
y/x =5

But in this case the gradient is also just the co-effiecent of x, in the form y = mx + c

So yeah, gradient i just the slope +ive gradient = upwards -ive gradient = downwards

2006-12-09 22:31:32 · answer #7 · answered by Anonymous · 1 0

Gradient is tangent angle in positive direction.
if the line y=mx+n them m=gradient
It is the coefficient of x
Therefore the gradients are as follows

a) m=5
b -7
c) 12
d) -1/4

2006-12-09 22:52:53 · answer #8 · answered by iyiogrenci 6 · 0 0

here is a website to help you - http://mathworld.wolfram.com/Gradient.html This tells you all about gradient and formats etc
Good luck!!

2006-12-09 22:54:59 · answer #9 · answered by guccgal 2 · 0 0

Hi i have a website it mute help u its http://www.bbc.co.uk/schools/gcsebitesize/maths/ see u later

2006-12-09 22:30:54 · answer #10 · answered by Aman A 1 · 0 0

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