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Maths-

General

Easy

Question

Find the equation for a path that passes through the point (-4, 9) and is parallel to $y equals negative 3 over 4 x plus 1$ .

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 = -3/4x + 6

We have been given an equation that represents y-axis.

We have to find an equation for a path that passes through the point (-4,9) and is perpendicular to $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 1$

Step 1 of 1:
We have given a line passes through a point (-4, 9) and parallel to a line $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 1$
Since two parallel lines have same slope.
So, Slope of the line will be $fraction numerator negative 3 over denominator 4 end fraction$
Therefore the equation of the line will be
$y minus 9 equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis x plus 4 right parenthesis$
$y equals fraction numerator negative 3 over denominator 4 end fraction x plus 6$

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