SOLUTION: find the point (x,y) on the line y+-4x-5 that is equidistant from the points (8,-10) and (-7,0)

Question 556013: find the point (x,y) on the line y+-4x-5 that is equidistant from the points (8,-10) and (-7,0)
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Still no equal sign
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
-------------
This is 2 equations and 2 unknowns, so it's solvable
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
(x,y) = (-3/10, -31/5 )
---------------------
check:
(1)
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Find the point (0, b) on the y-axis that is equidistant from the points (5,5) and... (answered by robertb)
Find the point (0,b) on the y-axis that is equidistant from the points 94,4) and (5,-4). (answered by josmiceli,Fombitz)
1) find the point (x,y) on the line y=4x+5 that is equidistant from the points (-9,7) and (answered by josgarithmetic)
Hi, I need help solving this : Find the point (x, y) on the line y=x that is equidistant... (answered by ikleyn,Theo)
Find the point (𝑥,𝑦) on the line 𝑦=−2𝑥+4 that is equidistant from the... (answered by josgarithmetic,MathLover1,greenestamps)
Find the coordinates of the point on the line y = x - 9 which is equidistant from the... (answered by Alan3354)
Find a point (x,y) equidistant from point (-3,8) and the line... (answered by Alan3354)
#1. Find a point on the line 2x + y = 8 that is equidistant from the coordinate axes.... (answered by jim_thompson5910)
find the point on y-axis which is equidistant from the points (3,1,2) and (5,5,2) (answered by Murthy)