juliadrinkwater juliadrinkwater
  • 12-03-2017
  • Mathematics
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Which is the distance between the point with the coordinates (1, 2) and the line with the equation 2x-3y=-2

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Аноним Аноним
  • 12-03-2017
The formula for the distance between the point (x1,y1) and the line of the equation ax + by + c = 0 is
 d =  |ax1 + by1 + c|
       --------------------     
       sqrt(a^2 + b^2)

so here we have 

d   = | 2*1 +(-3)2 + 2|
       ---------------------
       sqrt(2^2 + (-3)^2)
    
=     2 / sqrt 13

= 2 sqrt13 / 13




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