The equation of the line in the graph is - JAMB Mathematics 2020 Question
The equation of the line in the graph is
A
3y = 3x + 12
B
3y = 3x + 12
C
3y = -4x + 12
D
3y = -4x + 9
correct option: c
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Gradient of line = \(\frac{\text{Change in y}}{\text{Change in x}}\) = \(\frac{y_2 - Y}{x_2 - x}\)
y\(_2\) = 0\(_1\)
Y\(_1\) = 4
x\(_2\) = 3 and x\(_1\) = 0
\(\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}\)
The general equation of a straight line is y = m x + c , where is the gradient and the coordinates of the y-intercept.
At x = 0, y = c. y-intercept = 4
y = 4x + \(\frac{4}{3}\) multiply through y
3y = 4x + 23
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