SOLUTION: Hello! I'm having trouble breaking down problems like the following: Find the distance from (-6,2) to the line defined by y=-2x-5. Express as a radical or a number rounded to

Question 984199: Hello! I'm having trouble breaking down problems like the following:
Find the distance from (-6,2) to the line defined by y=-2x-5. Express as a radical or a number rounded to the nearest hundredth.
If you could please explain the steps to solve this problem as simple as possible it would be greatly appreciated!
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
The given line can be represented as an ordered pair (x, -2x-5), since y is equated to the expression . What you really want is the point of intersection for and the line from (-6,2) perpendicular to . Then you want the distance between these two points.

Line with containing point (-6,2)?
Perpendicular lines in a plane have slopes which are negative reciprocal of each other.
, using point slope form.

Intersection of and ?

Distance Formula for distance between (-38/5,51/5) and (-6,2) ?

some simplification and computation still needed.
RELATED QUESTIONS
find the distance from (6,-4) to the line defined by... (answered by tommyt3rd)

find the distance from (-6,-3) to the line defined by y=3x+5... (answered by josgarithmetic)

Find the distance from (6,-1) to the line defined by y=2x-3. Please... (answered by Cromlix)

Hello, I'm having trouble figuring out this question step by step and wanted to know if I (answered by Edwin McCravy)

Find the distance from(2,-7) to the line defined by y=2x-6. Express as a radical or a... (answered by rfer)

I am having a tough time breaking down the following equation.... (answered by ikleyn)

Find the distance from (6,-3)to the line defined by y= 2x-5. Express as a radical or a... (answered by Alan3354,Fombitz,Edwin McCravy)

Hello I am having trouble in finding slope and intercept forms and I need help on some... (answered by jim_thompson5910)

what is the distance from (-4,5) to the line defined by... (answered by dabanfield)