Question

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Answer 1

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).

Answer 2

Answers are in bold

`\begin{array} \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}`

The graph is shown below.

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Step-by-step explanation:

If x = -5, then,

`y = -(3)/(5)x\\\\y = -(3)/(5)(-5)\\\\y = -(3)/(5)*(-5)/(1)\\\\y = (-3*(-5))/(5*1)\\\\y = (15)/(5)\\\\y = 3\\\\`

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.