Category Archives: mathematica 8

Sketching linear graphs

Sketching linear graphs using the gradient and y-intercept: In linear equations in the form y = mx + b m is the gradient b is the y intercept Sketching linear graphs that pass through the origin: Graphs that pass through … Continue reading

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Gradient

Gradient: Gradient is the measure of a line’s steepness (slope). The gradient of a line describes the change in y values as the x value increases by 1. The size of the gradient tells us how steep a line is. … Continue reading

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Coordinate Geometry

On a Cartesian plane, the horizontal axis is called the x axis and the vertical axis is called the y axis. The point of intersection of the x and y axes is called the origin. The coordinates of the origin … Continue reading

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Linear Equations

There is a Linear relationship between two variables if a uniform change in the independent variable produces a uniform change in the dependent variable. A linear relationship produces a linear graph (straight line). A linear graph is represented by the … Continue reading

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Arc, Sector and Circle

  Circumference of a circle: C =  2 π r     or      C = π d where  r is the  radius  and  d is the diameter of the circle       Arc Length of a Sector: l = Θ/360 × 2 π r … Continue reading

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