Questions: Question In the coordinate plane below, plot the three points corresponding to the values x=-1, x=0, and x=1 in the equation y=-x+5

Question In the coordinate plane below, plot the three points corresponding to the values x=-1, x=0, and x=1 in the equation y=-x+5
Transcript text: Question In the coordinate plane below, plot the three points corresponding to the values $x=-1, x=0$, and $x=1$ in the equation $y=-x+5$ Provide your answer below: Move Point Undo Redo Reset
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Solution

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Solution Steps

To solve this problem, we need to calculate the y-values for each given x-value using the equation \( y = -x + 5 \). Then, we will plot these points on the coordinate plane.

Step 1: Identify the Equation

The given equation is: \[ y = -x + 5 \]

Step 2: Calculate the Points

We need to find the \( y \)-values for \( x = -1 \), \( x = 0 \), and \( x = 1 \).

For \( x = -1 \):

\[ y = -(-1) + 5 = 1 + 5 = 6 \] The point is \((-1, 6)\).

For \( x = 0 \):

\[ y = -(0) + 5 = 0 + 5 = 5 \] The point is \((0, 5)\).

For \( x = 1 \):

\[ y = -(1) + 5 = -1 + 5 = 4 \] The point is \((1, 4)\).

Step 3: Plot the Points

The points to plot on the coordinate plane are:

  • \((-1, 6)\)
  • \((0, 5)\)
  • \((1, 4)\)

Final Answer

The points corresponding to the values \( x = -1, x = 0, \) and \( x = 1 \) in the equation \( y = -x + 5 \) are:

  • \(\boxed{(-1, 6)}\)
  • \(\boxed{(0, 5)}\)
  • \(\boxed{(1, 4)}\)
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