# How do you find the equation of a line that Contains point (-1, 2) and is parallel to x-2y=-3?

##### 1 Answer

#### Explanation:

Method:

Convert the given equation into standard form for ease of recognition.

Use the given information to determine the equation of the new line.

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Given:

Subtract

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Change the equation so that the

Multiply both sides by

'...............................................................................................

Isolate

Divide both sides by

But

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Standard form is

From equation (1) the gradient is

We are given that the new line passes through the point:

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Substituting into equation (1)

Add

Thus the new equation is: