A line has this equation: y=-3x+7 Write an equation for the parallel line that goes through (-4,-8)

Given:

The equation of line is .

A line is parallel to given equation and passes through the point (-4,-8).

To find:

The equation of parallel line.

Solution:

The equation of a line is

On comparing this equation with , we get

So, slope of given line is -3.

We know that, slopes of parallel lines are equal. It means, the slope of the parallel line is also -3.

The parallel line passes through (-4,-8) and having slope -3. So, the equation of line is

Therefore, the equation of parallel line is .

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when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

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