Answer:
[tex] y = -\frac{4}{3}x + 4 [/tex]
Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
[tex] y = mx + b [/tex], where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3} [/tex]
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:
[tex] y = mx + b [/tex]
[tex] y = -\frac{4}{3}x + 4 [/tex]
