Linear Equations and Graphing
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gradient (slope)
The gradient of a straight line is the rate at which the line rises (or falls) vertically for every unit horizontally. That is: Gradient = Rise / Run
x-intercept
The point where a line crosses the x axis
y-intercept
The point where a line cuts the y axis
perpendicular lines
Two lines where the y intercept is the same
parallel lines
When the gradient of two lines is the same.
y = 3x - 2
Where the y intercept is -2 and the gradient is 3/1
y = -2x + 3
Where the y intercept is 3 and the gradient is -2/1
y = -2x - 3
Write the equation of the line in slope intercept form from the graph.
y = 4x +3 when x = 2 y =??
y = 11
Linear equation form (slope-intercept form)
y = mx + c where m is the gradient and c is the y-intercept.
