Question

107 = 5x - 2y = 6

Explanation:

Convert the equation to slope-intercept form

Using the Slope-Intercept Form knowledge point

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Identify the slope and y-intercept

Using the Slope-Intercept Form knowledge point

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Determine 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:

The equation of the line in slope-intercept form is:

$$y = \frac{5}{2}x - 3$$

To graph the line:

1. Plot the \(y\)-intercept at \((0, -3)\).
2. Use the slope \(m = \frac{5}{2}\) (rise \(5\), run \(2\)) to find a second point at \((2, 2)\).
3. Draw a straight line passing through both points.