Respuesta :

Answers are in bold

[tex]\begin{array}{|c|c|} \cline{1-2}x & (x,y)\\ \cline{1-2}-5 & \boldsymbol{(-5,3)}\\ \cline{1-2}0 & \boldsymbol{(0,0)}\\ \cline{1-2}5 & \boldsymbol{(5,-3)}\\ \cline{1-2}10 & \boldsymbol{(10,-6)}\\ \cline{1-2}\end{array}[/tex]

The graph is shown below.

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Explanation:

If x = -5, then,

[tex]y = -\frac{3}{5}x\\\\y = -\frac{3}{5}(-5)\\\\y = -\frac{3}{5}*\frac{-5}{1}\\\\y = \frac{-3*(-5)}{5*1}\\\\y = \frac{15}{5}\\\\y = 3\\\\[/tex]

In short, x = -5 leads to y = 3

So (-5,3) is one point on the line. This ordered pair goes in the first box of the table.

Through similar calculations, you should find x = 0 leads to y = 0. So we have (0,0) as another point, and so on. You'll plug each x value mentioned from the table.

The four points on this graph are:

  • (-5,3)
  • (0,0)
  • (5,-3)
  • (10,-6)

Plotting said points on the same xy grid, and drawing a line through them, yields the graph shown below.

Ver imagen jimthompson5910

Answer: (-5,3), (0,0), (5,-3), (10,-6)

Step-by-step explanation:

Given y = -(3/5)x.

In order to find the y-values, plug the x-values into the above equation.

When x = -5, y = -(3/5) x (-5) ---> y = 3

Therefore, the answer in the table for x = -5 is the ordered pair (-5,3).

When x = 0, y = -(3/5) x (0) ---> y = 0

Therefore, the answer in the table for x = 0 is the ordered pair (0,0).

When x = 5, y = -(3/5) x (5) ---> y = -3

Therefore, the answer in the table for x = 5 is the ordered pair (5,-3).

When x = 10, y = -(3/5) x (10) ---> y = -6

Therefore, the answer in the table for x = 10 is the ordered pair (10,-6).

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