Plot the y-intercept and use the slope to determine the rise and run of the line, connecting points to visualize y = 3/2x - 1/2.
Intersections: The two curves intersect at two points. One intersection is at approximately (-1.5, 0) and the other is at approximately (2, 4). These points represent the x and y values for which f(x) = g(x).
Slopes: The curve for f(x) appears to be steeper than the curve for g(x). This means that as x increases, f(x) increases at a faster rate than g(x).
Y-intercepts: The y-intercept for the curve f(x) is at (0, 2) and the y-intercept for the curve g(x) is at (0, 0). This means that when x is 0, f(x) is 2 and g(x) is 0
Plot additional points: Starting from the y-intercept, use the slope to move up and right:
Connect the points: Draw a straight line through all plotted points, including the y-intercept.
Adjust for scale: Depending on your desired precision, you may need to adjust the scale on your axes to accommodate the plotted points and ensure all relevant portions of the line are visible.