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Edexcel ·Mathematics·Cambridge IGCSE Mathematics

Coordinate Geometry & Straight-Line Graphs

13 min read

Gradient, the equation y = mx + c, midpoint and length of a line, and parallel and perpendicular lines.

Gradient and the equation of a line

The gradient of a line through (x1,y1)(x_1, y_1)(x1​,y1​) and (x2,y2)(x_2, y_2)(x2​,y2​) is

m=y2−y1x2−x1=riserunm = \frac{y_2 - y_1}{x_2 - x_1} = \frac{\text{rise}}{\text{run}}m=x2​−x1​y2​−y1​​=runrise​

The straight-line equation is y=mx+cy = mx + cy=mx+c, where mmm is the gradient and ccc is the yyy-intercept.

c

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