Graphing Linear Equations Unit Test
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Question
Explain whether the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the equation y=−5x−7.(1 point)
Responses
No, because the set of all solutions of y=−5x−7 is represented by the line of the equation.
No, because the set of all solutions of y equals negative five x minus 7 is represented by the line of the equation.
Yes, because all of the points that are listed are on the line y=−5x−7.
Yes, because all of the points that are listed are on the line y equals negative five x minus 7 .
No, because the x
-intercept is not provided in the list of points.
No, because the x-intercept is not provided in the list of points.
Yes, because all solutions in the set of solutions for y=−5x−7 need to have integer values for both x
and y
.
Yes, because all solutions in the set of solutions for y=−5x−7 need to have integer values for both x and y.
Yes, because all of the points that are listed are on the line y=−5x−7.
The correct answer is:
Yes, because all of the points that are listed are on the line y=−5x−7.
To explain how to get the answer, let's break it down:
The equation given is y=−5x−7. This equation represents a straight line on the coordinate plane.
To check if the given points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) satisfy the equation y=−5x−7, we can substitute the x and y values of each point into the equation and see if the equation holds true.
For the point (−3,8), we substitute x=-3 and y=8 into the equation y=−5x−7:
8 = -5*(-3) - 7
8 = 15 - 7
8 = 8
This equation holds true for the point (−3,8).
Similarly, you can substitute the x and y values for the other points into the equation and check if the equation holds true for each of them.
By checking all the points, we see that the equation y=−5x−7 holds true for all of them. Therefore, all the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the equation y=−5x−7.