# maths - Linear Equations

?

## What is a gradient ?

Gradient = the steepness of a line

1 of 14

## Gradient = 2

One across = 2 up

2 of 14

## Gradient = 3

One across = 3 up

3 of 14

2 across, 1 up

4 of 14

## Gradient = -2

1 across , 2 down

5 of 14

## Gradient = rise divided by run

Difference in Y divided by Difference in X

6 of 14

## Straight lines

All straight lines take the form Y = MX + C

7 of 14

M = the Gradient

C = -Y intercept

8 of 14

## Examples of Linear Equations

X  -2  -1  0  1  2

Y  -5 -3  -1  1  3

Y=2X-1

9 of 14

## More complicated examples of how to find the gradi

X  Y    X  Y

{3,4} , {5,10}

10-4 divided by 5 - 3 + 6/2

=3

10 of 14

Y=4X = 5

M=4

C=5

={0,5}

11 of 14

## How to rearrange Formuale

Make N the subject: N =

M=2n = 5

-5          -5

M-5 = 2n = n

m-5 divided by 2

12 of 14

2 {4x = 1} = 3y

8x + 2 = 3y

-2     -2

8x=3y-2

d 8      d 8

x=3y - 2 d by 8

{d= divide by}

13 of 14

## THINGS TO REMEMBER !!!!

1. 2 minuses = a positive

2. m is the gradient

3. c is the y intercept

14 of 14