SOLUTION: Find the distance from the point (6,1) to the graph of 2x-3y+7=0

Algebra.Com
Question 941300: Find the distance from the point (6,1) to the graph of 2x-3y+7=0
Answer by josgarithmetic(39627)   (Show Source): You can put this solution on YOUR website!



What is the line perpendicular to that one (given) and containing point (6,1)?
Slope will be . Using point-slope form to find the line,





What is the intersection point of the two line?











Finally, use the distance formula to find how far are the two points ( 46/13, 8&10/13) from (6,1).

RELATED QUESTIONS

Find the perpendicular distance from the point (5,6) to the line -... (answered by ikleyn)
Find the equation of the line parallel to the line 2x+3y=6 and passing at a distance... (answered by Edwin McCravy)
Find the distance from point (1, 2) to point (7, 6) to the nearest tenth of a... (answered by math-vortex)
Find the minimum distance the line 2x - 3y + 6 = 0 is from the... (answered by josgarithmetic)
Find the distances of the point (4,-2) from the line... (answered by ikleyn)
please help with homework 1) is the relation xy=5 a function within the domain(-5,-1)... (answered by stanbon)
Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin (answered by Edwin McCravy,ikleyn)
Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin (answered by math_tutor2020)
find the directed distance from the line to the point. 12x+5y-6=0; (4,... (answered by ikleyn)