Graph of a Function Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Determine if (3,0.75)
is a point on the graph of the function y=0.75x−1.5
. Enter 1 for yes. Enter 2 for no.(1 point)
1
To determine if the point (3, 0.75) lies on the graph of the function y = 0.75x - 1.5, you can substitute the x and y values of the point into the equation and check if it holds true.
In this case, the x-coordinate of the given point is 3, and the y-coordinate is 0.75. Let's substitute these values into the equation:
y = 0.75x - 1.5
0.75 = 0.75(3) - 1.5
Evaluating the expression on the right side of the equation:
0.75 = 2.25 - 1.5
0.75 = 0.75
Since the left and right sides of the equation are equal, we can conclude that the point (3, 0.75) does lie on the graph of the function y = 0.75x - 1.5.
Therefore, you should enter 1 for yes.
To determine if (3, 0.75) is a point on the graph of the function y = 0.75x - 1.5, we need to substitute the value of x (3) into the equation and check if it gives us the y-coordinate (0.75).
Substitute x = 3 into the equation:
y = 0.75(3) - 1.5
y = 2.25 - 1.5
y = 0.75
Comparing the calculated y-value (0.75) with the given y-coordinate (0.75), we can see that they are equal.
Therefore, (3, 0.75) is a point on the graph of the function y = 0.75x - 1.5.
To answer the question:
Enter 1 for yes.