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What is an equation of the line that passes through the point (5,-8) and is parallel to the line 5x-4y=16

User JeffB
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Answer:

To find the equation of the line that passes through the point (5,-8) and is parallel to the line 5x-4y=16:

1. Identify the slope of the original line (m = 5/4).

2. Use the point-slope formula: y - (-8) = (5/4)(x - 5).

3. Simplify the equation.

4. The equation is y + 8 = 5/4(x - 5), or 5x - 4y = 16.

User AbePralle
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