To determine if the given graph is the graph of the function y = -2/5x + 3, we need to compare the given graph with the equation of the line.
First, let's calculate the slope of the line passing through the given points (0, 3) and (5, 1):
m = (y2 - y1) / (x2 - x1)
m = (1 - 3) / (5 - 0)
m = -2 / 5
The slope of the line passing through the given points is -2/5.
Now, let's compare the slope of the given graph (which is -2/5) with the slope of the function y = -2/5x + 3. Since the slopes match, we can conclude that the given graph is the graph of the function y = -2/5x + 3.
Therefore, the answer is 1 for yes.
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=−2/5x+3 . Enter 1 for yes. Enter 2 for no.
(1 point)
1 answer