The equation of the line in the graph is

The equation of the line in the graph is

Correct Answer: Option C

Explanation

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