Mathematics
Grade-8
Easy

Question

text  The  end text y text -intercept of the equation  end text square root of 2 x plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y text  is  end text

  1. fraction numerator 5 square root of 3 over denominator square root of 2 end fraction
  2. fraction numerator square root of 2 over denominator 5 square root of 3 end fraction
  3. fraction numerator 5 over denominator square root of 6 end fraction
  4. fraction numerator square root of 6 over denominator 5 end fraction

hintHint:

A y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. To find the y-intercept, set x = 0 and solve for y.

The correct answer is: fraction numerator 5 over denominator square root of 6 end fraction


    G i v e n space e q u a t i o n comma
square root of 2 x plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y

T o space f i n d comma
y minus i n t e r c e p t

F o r space y minus i n t e r c e p t comma space x equals 0
square root of 2 x plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y
square root of 2 open parentheses 0 close parentheses plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y
0 plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y
fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y
y space equals space fraction numerator 5 over denominator square root of 2 cross times 3 end root end fraction
y space equals space fraction numerator 5 over denominator square root of 6 end fraction

T h e r e f o r e comma space t h e space y minus i n t e r c e p t space i s space fraction numerator 5 over denominator square root of 6 end fraction

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