Final answer:
The equation is in slope-intercept form with a slope of -3/2 and a y-intercept of 3. The x-intercept is (2, 0). The domain and range are all real numbers.
Step-by-step explanation:
The given equation is in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
In the equation y = -3/2x + 3, the slope is -3/2 and the y-intercept is 3.
The x-intercept can be found by setting y equal to zero and solving for x. In this case, we have:
0 = -3/2x + 3
3/2x = 3
x = 2
Therefore, the x-intercept is (2, 0).
The domain of the function is all real numbers because there are no restrictions on the possible values of x.
The range of the function is all real numbers because the slope of -3/2 allows for any y-value to be possible.
Learn more about Slope-intercept form of an equation