SOLUTION: How can I find the distance from (2,-1) to the line y=1/2x+4 please answer soon!

Question 374990: How can I find the distance from (2,-1) to the line y=1/2x+4
please answer soon!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The shortest distance between a line and a point is a line perpendicular to the first line going through the point.
Perpendicular lines have slopes that are negative reciprocals.

Then use the slope-intercept form of a line,

Use the point to solve for .

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Find the intersection point between the two lines.

Then,

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Use the distance formula to find the distance from (,) to (,).

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