Write an equation for the line parallel to the given line that contains c.
c(2,7); y = -4x + 1
y = ?

Step-by-step explanation:

step 1

Find the slope of the given line

we know that

If two lines are parallel, then their slopes are the same

The equation of the given line is

This is a equation of the line in slope intercept form

where

m is the slope

b is the y-intercept

The slope m is equal to

therefore

The slope of the line parallel to the given line is

step 2

Find the equation in slope intercept form of the line parallel to the given line

we have

substitute the values and solve for b

therefore

The linear equation is

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step-by-step explanation:

b.my answer is b.

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