SOLUTION: Find the distance from point A to the given line A(15,-21), 5x+2y=4 And if you can could you please show me how you solved it

Algebra.Com
Question 1067344: Find the distance from point A to the given line
A(15,-21), 5x+2y=4
And if you can could you please show me how you solved it

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The slope of your GIVEN line is .
The slope of the line you want to find must have slope .

WHY? The two lines intersect at some point which you will find. Then use Distance formula to find the length from the intersection point to point A(15,-21). You are first looking for the line perpendicular to the given one which contains point A.

Line you want:
, using point-slope form




Now find intersection point of and .
.
.
.
.
Can you finish this?

RELATED QUESTIONS

What is the distance from point A to the given line A(-1,7), y=3x If you don't... (answered by ikleyn)
Find the distance from point A(15,−21) to the line 5x+2y = 4. Round your answer to the... (answered by MathLover1,greenestamps)
Distance from a Point to a Line 9.Find the distance from the point q(-2,-2)to the line... (answered by user_dude2008)
Could someone please help me with a few problems?These are Systems of equations,and these (answered by algebrapro18)
Find the shortest distance from the line 3x-4y+20 = 0 to the point (6,2) Can you... (answered by Alan3354)
Could someone please help me with a couple of problems,that I'm having trouble with?... (answered by nerdybill)
Distance from a Point to a Line 6.Find the exact distance from the point D(4,-2) to the... (answered by Alan3354)
Given the line y= -5x+4 how do you find a line parallel through the point the point (-10, (answered by ReadingBoosters)
Can you help me please?The problem is :You and a friend go hiking. You hike 3 miles north (answered by solver91311)