Question

graph the line.

\\y = -2x + 4\\

Explanation:

Identify the slope and y-intercept

Using the Slope-Intercept Form knowledge point

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Plot the y-intercept

Using the Graphing Linear Equations knowledge point

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Apply the slope to find a second point

Using the Graphing Linear Equations and Slope-Intercept Form knowledge points

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Verify with an alternative point

Using the Graphing Linear Equations knowledge point

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Answer:

To graph the line \(y = -2x + 4\):

1. Plot the \(y\)-intercept at \((0, 4)\).
2. Use the slope \(m = -2\) (go down 2 units and right 1 unit) to plot a second point at \((1, 2)\), or continue to find the \(x\)-intercept at \((2, 0)\).
3. Draw a straight line passing through these points.