Use the image to answer the question.

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 if the given graph represents the function \( y = -25x + 3 \), we need to check if the points provided (0, 3) and (5, 1) lie on this line.

1. Substituting the first point (0, 3): \[ y = -25(0) + 3 = 3 \] The point (0, 3) satisfies the equation.

2. Substituting the second point (5, 1): \[ y = -25(5) + 3 = -125 + 3 = -122 \] The point (5, 1) does not satisfy the equation since the result is -122, not 1.

Since not all points lie on the line defined by the function \( y = -25x + 3 \), the answer to whether the graph is of the function \( y = -25x + 3 \) is:

2 for no.