Question

1. \\(3x + y = 5\\)

Explanation:

Convert to slope-intercept form

Using the Slope-Intercept Form knowledge point

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Identify the y-intercept and slope

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

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Find a second point on the line

Using the Graphing Linear Equations knowledge point

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Plot the points and draw the line

Using the Graphing Linear Equations knowledge point

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Answer:

To graph the linear equation \(3x + y = 5\), we first rewrite it in slope-intercept form:

$$y = -3x + 5$$

• y-intercept: \((0, 5)\)
• Slope: \(m = -3\) (move down 3 units and right 1 unit to find the next point at \((1, 2)\))