Which function has less y-intercept?
y = 2x - 4
Algebraic form
Graph
Both the forms
None of the choices
The function y = 2x - 4 has a y-intercept of -4.
To determine which function has a smaller y-intercept, we need to compare the equations.
The equation y = 2x - 4 is already in algebraic form, so we can identify the y-intercept directly. The y-intercept is the value of y when x = 0. In this case, substituting x = 0 into the equation, we have y = 2(0) - 4 = -4. Therefore, the y-intercept is -4.
To determine the y-intercept of the graph of y = 2x - 4, we can plot the equation on a graph and find the point where the graph intersects the y-axis. By analyzing the graph, we can see that the line passes through the point (0, -4), which confirms that the y-intercept is indeed -4.
Comparing the two equations:
- The equation y = 2x - 4 has a y-intercept of -4.
- The equation y = mx + b represents any linear equation, where m is the slope and b is the y-intercept. However, we are not given a specific value for m or b in this case.
Since we know that the y-intercept of y = 2x - 4 is -4, and we don't have sufficient information about the other equation (y = mx + b), we cannot determine which function has a smaller y-intercept based on the given options. Therefore, the answer is "None of the choices."