SOLUTION: i have to write the equation of the line for this problem. through two points (2,4) and (4,7) thx u soo much

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Question 389621: i have to write the equation of the line for this problem. through two points (2,4) and (4,7) thx u soo much
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
The approach here is to find the slope of the line then use the point slope formula to get the equation.
using given points, (2,4) and (4,7)
slope,m = change in y ÷ change in x = (7-4)/(4-2) = 3/2
using point-slope formula
y-y1 = m(x-x1)
choosing point (2,4) (choosing point (4,7) will also work)
y-4 = (3/2)(x-2)
multiplying both sides by 2,
2(y-4) = 3(x-2)
2y -8 = 3x-6
2y-3x =2
ans: equation of the line through points (2,4) and (4,7) is 2y-3x =2

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