Use the image to answer the 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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To determine if the given graph is the graph of the function y = -25x + 3, we need to compare the slope-intercept form of the equation with the graph.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
In the given equation, y = -25x + 3, the slope is -25 and the y-intercept is 3.
Looking at the graph, we can see that the line passes through the point (0, 3), which corresponds to the y-intercept.
Next, we can see that the line also passes through the point (5, 1). To determine if this point satisfies the equation, we can substitute the x and y values into the equation:
1 = -25(5) + 3
1 = -125 + 3
1 = -122
Since the point (5, 1) does not satisfy the equation, the given graph is not the graph of the function y = -25x + 3.
Therefore, the answer is 2.