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Question

An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 6 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 3 right parenthesis, and left parenthesis 5 comma 1 right parenthesis.

Determine if the given graph is the graph of the function y=−25x+3
. Enter 1 for yes. Enter 2 for no.

(1 point)
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Answer 1

To determine whether the graph with the given points (0, 3) and (5, 1) represents the function \( y = -25x + 3 \), we can evaluate the function at the x-coordinates of the points and see if the corresponding y-coordinates match.

1. For \( x = 0 \): \[ y = -25(0) + 3 = 3 \] This corresponds to the point (0, 3) which is correct.

2. For \( x = 5 \): \[ y = -25(5) + 3 = -125 + 3 = -122 \] This does not correspond to the point (5, 1).

Since the function \( y = -25x + 3 \) does not yield the correct y-coordinate for the point (5, 1), the graph does not represent this function.

Therefore, the answer is 2 (no).