The equation y = 5x + 4 has a y-intercept of 4. To have the same y-intercept, another linear function would have to have the constant term, or b term, of 4, regardless of the slope.
In mathematics, when considering linear equations of the form y = mx + b, the y-intercept is represented by the b term, which indicates where the line crosses the y-axis. Given the equation y = 5x + 4, the y-intercept is 4. To find another linear function with the same y-intercept, we need to look for an equation where the constant term, or b, is also 4.
Among the given options (5, 4, -3, 2, -5-4-3-2-4), the functions are not presented in the standard format. However, if we are to select the one that indicates a y-intercept of 4, it would be in the format of y = mx + 4 where m can be any value representing the slope of the line, as the slope does not affect the y-intercept. Therefore, the correct function sharing the same y-intercept with y = 5x + 4 would simply be written with a different slope, but still ending with +4.
The probable question may be:
Consider a linear function represented by the equation y=5x+4. Which of the following linear functions shares the same y-intercept?
Additional Information:
Imagine you have a graph where the line y=5x+4 crosses the y-axis at the point (0, 4). This point is known as the y-intercept, representing the initial value of the function when x=0. In this case, the y-intercept is 4.
Now, among the given options (5, 4, -3, 2, -5-4-3-2-4), identify the linear function that also crosses the y-axis at the point (0, 4), indicating it shares the same y-intercept as the original linear function.