The equation of the line in the graph is y = (-4/3)*x + 4
How to find the equation shown in the graph?
We can see a linear qeuation, remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In the graph we can see that the line intercepts the y-axis at y = 4, then we can write:
y = a*x + 4
We also can see that the line passes through (3, 0), replacing these values we get:
0 = a*3+ 4
-4 = a*4
-4/3 = a
The equation is y = (-4/3)*x + 4