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Vanyuwa [196]
3 years ago
7

FIRST TO ANSWER GET BRAINLEST Solve for x. 2/3(x−7)=−2 Enter your answer in the box. x =

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

2/3(x−7)=−2

2(x - 7) = (-2) * (3)

2x - 14 = - 6

2x = 8

 x = 4

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Find the equation of the line passing through the points (3,7) and (-2,5)
r-ruslan [8.4K]

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Greetings !

first \: find \: the \: slope \: m \\ m =  \frac{(Y₂-Y₁)}{(X₂-X₁)} ..substitute \: vlues \\ m =  \frac{(5 - 7)}{( - 2 - 3)}  =  \frac{ - 2}{ - 5}  =  \frac{2}{5}  \\ y = mx + b \: to \: find \: equation \: of \: aline \\ between \: two \: poins and \: use \:  \\ one \: of \: the \: two \: points \: lets \: take( - 2.5) \\ y = mx + b \\ 5 =  \frac{ - 2}{5} ( - 2) + b \\ 5 =  \frac{ - 4}{5}  + b \\ 5 +  { - 4}^{5}  = b \\  \frac{25 + 4}{5}  = b \\ b =  \frac{29}{5}  \\ finally \: equation \: of \: the \: line \: will \: be \\ y =  \frac{2}{5} x +  \frac{29}{5}

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