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What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?

User Nissan
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1 Answer

3 votes

Answer: y= 1/5 x + 8

Explanation:

To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.

- 5 becomes +1/5

Then substitute the y and x values from the given coordinate into the new equation and solve for b

y= mx+b

6=1/5 (-10) + b

6 = -2 +b

8 = b rewrite the new equation and substitute 8 for b

y= 1/5 x + 8

The attached screenshot shows the lines and the point.

What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?-example-1
User Lyborko
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6.5k points