Problem 77 of 7
Write the equation of the line perpendicular to y=-5x+10 through point 5, 2.
Hints
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use perpendicular slope and a point.
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Given line and point must determine a unique perpendicular line.
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Your answer is equivalent to the expected form.
Solution
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1. Find the slope of the given line.
2. Use the negative reciprocal or horizontal/vertical perpendicular slope.
3. Substitute the point to write the equation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Parallel slope when perpendicular is requested.