The graph of a linear function is shown on the grid. Which equation is best represented by this graph?
A)
y + 1 = 2/3(x + 3)
B)
y - 1 = 2/3(x - 3)
C)
y - 1 = -2/3(x - 3)
D)
y + 1 = -2/3(x + 3)

C: y - 1 = -2/3(x - 3)

Step-by-step explanation:

The given answer is the point-slope form of the linear equation, y = -2/3x + 3.

The point-slope form is:

y - y1 = m(x - x1)

where m = slope.

Given the two points on the graph, (0 , 3) and (3, 1), we can solve for the slope of the line by using the following formula:

Let x1 = 0, x2 = 3,

y1 = 3, y2 = 1

Plug in these values into the slope formula:

Therefore, the slope of the line is -2/3.

Next, we must identify the y-intercept (which is the y-coordinate of the point where the graph of the linear equation crosses the y-axis). This is given by point, (0, 3). Therefore, the y-intercept is 3.

Using one of the points on the graph, (3, 1), we can plug in these values into our point-slope formula:

y - y1 = m(x - x1)

y - 1 = -2/3(x - 3)

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answer

explanation:

step-by-step explanation: