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Complete the ordered pairs in the following equation. -5x+2y=-50

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Final answer:

To find complete ordered pairs for the equation -5x+2y=-50, set x=0 to determine y and vice versa. This results in the pairs (0, -25) and (10, 0). The line has a negative slope and moves downward on the graph, with a y-intercept of -25.

Step-by-step explanation:

To complete the ordered pairs for the equation -5x+2y=-50, we can select values for x and solve for y, or select values for y and solve for x. Let's find two ordered pairs by solving for y when x=0, and for x when y=0.

First, if x=0, the equation becomes 2y=-50. Dividing both sides by 2, we get y=-25. So, one ordered pair is (0, -25).

Second, if y=0, the equation becomes -5x=-50. Dividing both sides by -5, we get x=10. Therefore, another ordered pair is (10, 0).

It is important to note that the given line has a negative slope, and this is evident from the negative coefficient of x in the equation. A negative slope means that as x increases, y decreases, so the line moves downward on the graph. The y-intercept of the line is found by setting x=0, which we already computed as y=-25, not 50 as was incorrectly stated in the original information. This is where the line crosses the y-axis.

User Ananta Chandra Das
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