SOLUTION: From the distance from (-4,-1) to the line defined by y=-2x+1. Express as a radical or a number rounded to the nearest hundredth.

Question 359558: From the distance from (-4,-1) to the line defined by y=-2x+1. Express as a radical or a number rounded to the nearest hundredth.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
The closest distance is formed by the line perpendicular to that goes through the point (-4,-1).
To find the perpendicular line, use the slope since perpendicular lines have slopes that are negative reciprocals.

Now use the point slope form of a line,

2.
Now that you have both lines, find the intersection of the two lines.
The distance you're after is the distance from point (-4,-1) to the intersection point.
Substitute eq. 1 into eq. 2 and solve for .

Then from eq. 1,

.
.

.
.
.
Now use the distance formula to find the distance from (-4,-1) to (0,1).

or approximately,

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