The equation of the line in the graph is

The equation of the line in the graph is

Answer Details

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