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 one year ago
Does any one know how to find the distance between the point (2,3) and the line 4x + 3y = 10?
 one year ago
Does any one know how to find the distance between the point (2,3) and the line 4x + 3y = 10?

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, find the equation of the line perpendicular to the given line that passes thorugh (2, 3). Once you have the equation of the perpendicular, solve a system of equations of the two equations to find where the lines intersect. Then, find the distance between the point of intersection and point (2, 3).

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1Could x=2 @mathstudent55

Matt.Mawson
 one year ago
Best ResponseYou've already chosen the best response.0Ok this is a big pain to solve, but here it is. First put the equation of the line into y = m*x+b format y = (4/3)x + 3.333 The perpendicular line will have slope 3/4 and passes through (2,3) so it's equation will be y = (3/4)x+4.5 The two lines intersect at (.56,4.08) The triangle with tip (.56,4.08) and right point at (2,3) has base 1.44 and height of 1.08 \[\sqrt{1.44^{2}+1.08^{2}} = 1.8 \] 1.8 is the answer

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1when they intersect i get (2,6)?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What did you get for the equation of the perpendicular?

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1i plugged in the one that you had calculated

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1@Matt.Mawson calculated it, but I think he made a mistake.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let's start from the beginning. The given line is: 4x + 3y = 10

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Solve it for y to get the slope: 3y = 4x + 10 y = (4/3)x + 10/3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1He made a mistake right in the beginning when he subtracted the 4x from both sides. It should be 4x on the right side, but he wrote 4x.

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1Yes i get that for my equation as well. and for my perpendicular i calculated y=(3/4)x +1.5

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, I have both of those.

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1for my point of intercept i have .88, 2.16

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, I got the same x and y as you.

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1so how will i find the distance?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The final step is the distance between (0.88, 2.16) and (2,3)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1For that distance I get 1.4

LucyLu15
 one year ago
Best ResponseYou've already chosen the best response.1yes i have that too... Okay. Thank You!
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