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Equation of Straight Line
Equation of a straight line (gradient-intercept form): y = mx + c where m is the gradient and c is the y-intercept. Equation of a straight line (given gradient and 1 point):
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Finding equations Find the equation of the straight line joining
(2, 4) and (–2, 3) (–2, – 4) and (1, –7)
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Finding equations Find the equation of the lines, given the
gradient and the coordinate of a point lying on the line. (a) m = 3, (1, 1) (b) m = 0.5, (5, 7)
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Finding Equations What is the equation of the line which has gradient 2 and which passes through the origin?
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Finding Equations Find the equation of the straight line that is parallel to and bisects the line segment joining the points (3, 1) and (1, –5).
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Finding Equations Find the values of k if the line is parallel to
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Finding Equations Given the line, find its gradient;
the coordinates of the point at which it cuts the x-axis.
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Straight line equations of different forms
Gradient-intercept form *Given gradient and 1 point Double-intercept form General form
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Collinear Points 3 points are collinear if gradient AB = gradient BC
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