The equation of the line in the graph is
Attached Figure / Diagram
A
3y = 3x + 12
B
3y = 3x + 12
C
3y = -4x + 12
D
3y = -4x + 9
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
\(\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}\)
Equation of straight line y = mx + c
Where m = gradient and c = y
intercept = 4
y = -\(\frac{4}{3}\)x + 4 multiply through by 3
3y = -4x + 12
Source: Myschool Past Questions Archive (Record #56829)