Write an equation for the line graphed?

The equation of the line is:

y = 2/3x - 3

The graph is also attached below.

Step-by-step explanation:

From the given diagram, let us take two points

(0, -3)

(4.5, 0)

Determining the slope between (0, -3) and (4.5, 0)

Therefore, the slope of the line is:

m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the given point

It is clear that at x = 0, the value of y = -3

Thus, the y-intercept b = -3

now substituting b = -3 and m = 2/3 in the slope-intercept form of the line equation

y = mx+b

y = 2/3x + (-3)

y = 2/3x - 3

Therefore, the equation of the line is:

y = 2/3x - 3

The graph is also attached below.

don't know sorry bru

step-by-step explanation: