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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.

A.Yes, because all solutions in the set of solutions for y=−5x−7 need to have integer values for both x and y.

B.Yes, because all of the points that are listed are on the line y=−5x−7.

C.No, because the x-intercept is not provided in the list of points.

D.No, because the set of all solutions of y=−5x−7 is represented by the line of the equation

Respuesta :

Answer:

D

Step-by-step explanation:

We simply put each of the points to test

For a point to be correct, if we substitute the x-coordinate value, we should get the value of the y-coordinate

So let’s proceed

(-3,8)

8 = -5(-3) - 7

8 = 15 -7

8 = 8

(-2,3)

3 = -5(-2) - 7

3 = 10 -7

3 = 3

(-1,-2)

-2 = -5(-1) - 7

-2 = 5-7

-2 = -2

(0,-7)

y = -5x -7

y = -5(0) - 7

y = 0-7 = -7

(1,-12)

y = -5(1) -7

-12 = -5 -7

-12 = -12

(2,-17)

-17 = -5(2) -7

-17 = -10-7

-17 = -17

We can see that all the listed points are on the given line

Although all these points lie on the line, we cannot say they represent the set of all solutions

The set of all solutions can simply be represented by the line of the equation