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Artist 52 [7]
3 years ago
9

Which equation represents a line that is parallel to the line whose equation is 3x − 2y = 7? *

Medicine
1 answer:
elixir [45]3 years ago
5 0

Answer:

y = \frac{3}{2}x - 5

Explanation:

Given

3x - 2y = 7

Required

Select the equation of a line, parallel to this

First, we make y the subject:

3x - 2y = 7

Subtract 3x from both sides

3x-3x - 2y = -3x+7

- 2y = -3x+7

Divide through by -2

\frac{- 2y}{-2} = \frac{-3x}{-2}+\frac{7}{-2}

y = \frac{-3x}{-2}+\frac{7}{-2}

y = \frac{3x}{2}-\frac{7}{2}

y = \frac{3}{2}x-\frac{7}{2}

The general form of an equation is:

y = mx + b

Where:

m = slope

So, we have:

m = \frac{3}{2}

For an equation to be parallel, the slope must also be:

m = \frac{3}{2}

From the list of given options (see attachment), only

y = \frac{3}{2}x - 5

has the same slope.

Hence:

y = \frac{3}{2}x - 5 is parallel

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