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y = mx + c by Mind Map: y = mx + c

1. equation

1.1. y is an equation of a straight line

1.2. m and c are constants

1.2.1. m is the gradient of the line

1.2.1.1. steepness of slope

1.2.2. c is the y - intercept

2. intercept

2.1. x - intercept is where the point of the line cuts the x - axis

2.2. y - intercept is where the point of the line cuts the y - axis

3. gradient ( part 1 )

3.1. positive gradient

3.1.1. + ve

3.1.2. line sloping up to the right

3.1.3. m > 0

3.1.4. as x increases , y increases

3.2. negative gradient

3.2.1. - ve

3.2.2. line slopping down to the right

3.2.3. m < 0

3.2.4. as x increases , y decreases

3.3. the positive and negative gradient can be in decimal , fraction , irrational or rational number.

4. gradient ( part 2 )

4.1. the greater the value of m , the steeper the graph

4.2. angle of inclination

4.2.1. graph with the greatest angle of inclination

4.2.2. graph with the least angle of inclination

5. calculating gradient

5.1. a line joining 2 points with coordinates

5.1.1. A ( x1 , y1 )

5.1.2. B ( x2 , y2 )

5.2. gradient of the line = y2 - y1 / x2 - x1 = y1 - y2 / x1 - x2

5.3. the gradient of a line is defined as the ratio of the vertical change ( increase or decrease ) to the horizontal change.

5.4. gradient = vertical change / horizontal change

5.5. rise ( vertical change ) / run ( horizontal change )