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tensa zangetsu [6.8K]
3 years ago
13

Write an equation that is parallel to the line 4x - y = 2 and passes through the point (-2, 3)

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
We can start from the given line's coefficients and translate the line from the origin to the given point.
  4(x -(-2)) -(y -3) = 0
  4x +8 -y +3 = 0

The equation of the desired line is ...
  4x -y = -11

_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
  a(x-h) +b(y-k) = 0
which is completely equivalent to
  ax +by = ah +bk

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Option (1)

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Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

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Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

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Therefore, x = -1.25 is not the answer.

Option (3)

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Therefore, x = 0.75 is not the answer.

Option (4)

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