Question

which equations represent the line that is parallel to \\(3x - 4y = 7\\) and passes through the point \\((-4, -2)\\)? select two options.

\\(y = -\frac{3}{4}x + 1\\)

\\(3x - 4y = -4\\)

\\(4x - 3y = -3\\)

\\(y - 2 = -\frac{3}{4}(x - 4)\\)

\\(y + 2 = \frac{3}{4}(x + 4)\\)

Explanation:

Find the slope of the given line

Using the Slope of a Line knowledge point

$$
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Determine the slope of the parallel line

Using the Parallel Line Equations knowledge point

$$
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Write the equation in point-slope form

Using the Point-Slope Form knowledge point

$$
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Convert to standard form

Using the Parallel Line Equations knowledge point

$$
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Match with the given options

Using the Parallel Line Equations knowledge point

$$
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Answer:

• \(y = -\frac{3}{4}x + 1\)
• \(3x - 4y = -4\) (Correct answer)
• \(4x - 3y = -3\)
• \(y - 2 = -\frac{3}{4}(x - 4)\)
• \(y + 2 = \frac{3}{4}(x + 4)\) (Correct answer)