Answer:
(0, -3) and (3, -5)
Explanation:
To graph the line of the equation f(x) = -2/3x - 3, we can choose any two points on the line. One way to do this is to find the y-intercept and another point using the slope of the line.
1. To find the y-intercept, let x = 0 and solve for y:
f(0) = -2/3(0) - 3 = -3
So the y-intercept is (0, -3).
2. To find another point, we can use the slope of the line, which is -2/3. We can start from the y-intercept (0, -3) and move down 2 units (since the slope is negative) and to the right 3 units (since the denominator of the slope is 3) to get another point on the line:
(3, -5)
So the two points we can use to graph the line are (0, -3) and (3, -5).