The equation of the line in the graph is

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

3y = - 4x + 12