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Find the distance between the points on the line 2x-3y-17=0 where x=-3 and where y=10  

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polly123456 | Student, Undergraduate | Salutatorian

Posted August 21, 2011 at 8:44 PM via web

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Find the distance between the points on the line 2x-3y-17=0 where x=-3 and where y=10

 

Tagged with -, 10, 17, 2x, 3, =, =-3, and, between, distance, find, line, math, maths, on, points, the, where, x, y

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted August 21, 2011 at 11:05 PM (Answer #1)

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First, we need to establish the coordinates of the two points.

2x - 3y = 17 where x = -3

2(-3) - 3y = 17

-6 - 3y = 17

-3y = 23

y = -23/3

first point:  (-3, -23/3)

2x - 3y = 17 where y = 10

2x - 3(10) = 17

2x - 30 = 17

2x = 47

x = 47/2

second point:  (47/2, 10)

The distance between two points can be found using the formula:

sqrt[(x1 - x2)^2 + (y1 - y2)^2]

sqrt[(-3 - 47/2)^2 + (-23/3 - 10)^2]

sqrt(-53/2^2 + -53/3^2)

sqrt(702.25 + 312.111)

sqrt(1014.36111)

`~~`  31.85

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