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On a coordinate plane, a line goes through points (0, 3) and (5, 0). Locate the y-intercept for the graph of the linear function, and for the equation of the linear function. Which function has a larger y-intercept? The graph has a larger y-intercept. The equation has a larger y-intercept. The y-intercepts are equal.

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Final answer:

The y-intercept can be found at the point (0, 3), and the equation of the linear function is y = (-3/5)x + 3. The function with the larger y-intercept is the one with a y-intercept of 3.

Step-by-step explanation:

The y-intercept can be found by examining the point where the line intersects the y-axis on a coordinate plane.

In this case, the y-intercept is the point (0, 3), meaning the line crosses the y-axis at y = 3.

The equation of a linear function is typically represented in the form y = mx + b, where m is the slope and b is the y-intercept.

Given the two points (0, 3) and (5, 0), we can calculate the slope using the formula: m = (y2 - y1) / (x2 - x1).

Thus, the slope is m = (0 - 3) / (5 - 0) = -3/5.

Substituting the values of the slope and the y-intercept into the equation, we get the equation of the linear function: y = (-3/5)x + 3.

Therefore, the function with the larger y-intercept is the one with a y-intercept of 3, which is the graph represented by the coordinates (0, 3).

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