SOLUTION: Find the distance from point A(−1, 7) to the line y=3x.

Question 1169692: Find the distance from point A(−1, 7) to the line y=3x.
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

1. Find the slope of the given line.

2. Calculate the negative reciprocal of the slope of the given line.

Slope of a Perpendicular

3. Use the Point-Slope form with the slope calculated in step 2 and the given point to derive the equation of the line through the given point perpendicular to the given line.

Point-Slope Form

4. Solve the 2X2 system of equations consisting of the given equation and the equation derived in step 3 to find the point of intersection between the given line and the derived line.

5. Use the Distance Formula to calculate the distance from the given point to the point of intersection discovered in step 4.

Distance Formula

John

My calculator said it, I believe it, that settles it

From
I > Ø

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