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The equation of the line in the graph is - JAMB Mathematics 1994 Question

The equation of the line in the graph is
A
3y = 4x + 12
B
3y = 3x + 12
C
3y = -4x + 12
D
3y = -4x + 9
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Correct Option: C

Gradient of line = (\frac{\text{Change in y}}{\text{Change in x}} = \frac{y_2 - y_1}{x_2 - x_1})

y2 = 0, y1 = 4

x2 = 3 and x1 = 0

(\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3})

Equation of straight line = y = mx + c

where m = gradient and c = y

intercept = 4

y = 4x + (\frac{4}{3}), multiple through by 3

3y = 4x + 12

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