Straight-Line Graphs and Gradient

The equation y = mx + c

m is the gradient (steepness - like how steep a hill is on your walk to school), and c is the y-intercept (where the line crosses the y-axis).

Gradient = (change in y) ÷ (change in x) = (y&sub2;-y&sub1;)/(x&sub2;-x&sub1;)

Example: Line through (1,3) and (4,9): m = (9-3)/(4-1) = 6/3 = 2. If it crosses the y-axis at 1, the equation is y = 2x + 1.

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Gradient and equations

Find the gradient of the line through (2,5) and (6,13).A line has gradient 3 and y-intercept -2. Write its equation.Find …

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