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Which linear function has the same y-intercept as the one that is represented by the graph?

5
4
-3
2
-5-4-3-2-4
I & b
5 x

User Melitza
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1 Answer

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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.

Which linear function has the same y-intercept as the one that is represented by the-example-1
User Rodrigo Lopetegui
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