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Maths-

General

Easy

Question

Write an equation of a line that passes through the given line and is parallel to the given line.
$left parenthesis 6 comma 4 right parenthesis semicolon space 2 x plus 3 y equals 18$

hint Hint:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

The correct answer is: y = -2/3x + 8

We have to write an equation of a line that passes through the given line and is parallel to the given line.

Step 1 of 1:
We have to find a line passes through a point (6, 4) and parallel to a line 2x + 3y = 18
Since two parallel lines have same slope.
So, Slope of the line will be $fraction numerator negative 2 over denominator 3 end fraction$
Therefore the equation of the line will be
$y minus 4 equals fraction numerator negative 2 over denominator 3 end fraction left parenthesis x minus 6 right parenthesis$
$y equals fraction numerator negative 2 over denominator 3 end fraction x plus 8$

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