Questions: Graph the line by plotting any two ordered pairs that satisfy the equation. y=5-x

Graph the line by plotting any two ordered pairs that satisfy the equation.
y=5-x
Transcript text: Graph the line by plotting any two ordered pairs that satisfy the equation. \[ y=5-x \]
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Solution

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Solution Steps

Step 1: Choose two values for x

To graph the line, we need to find two points that satisfy the equation \( y = 5 - x \). Let's choose \( x = 0 \) and \( x = 2 \).

Step 2: Calculate the corresponding y values

For \( x = 0 \): \[ y = 5 - 0 = 5 \] So, one point is \( (0, 5) \).

For \( x = 2 \): \[ y = 5 - 2 = 3 \] So, another point is \( (2, 3) \).

Step 3: Plot the points and draw the line

Plot the points \( (0, 5) \) and \( (2, 3) \) on the graph. Then, draw a straight line through these points to represent the equation \( y = 5 - x \).

Final Answer

The points \( (0, 5) \) and \( (2, 3) \) are plotted, and the line passing through these points represents the equation \( y = 5 - x \).

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