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Line v has an equation of 7x y= – 5. Line w includes the point ( – 1,7) and is parallel to line v. What is the equation of line w?

User Yanay
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1 Answer

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The equation of Line w is: y = 7x + 14

What is the equation of the Line?

The general form for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Equation of Line v is:

7x - y= -5

Rewriting in slope intercept form gives:

y = 7x - 5

Thus:

slope = 7

Since w is parallel to it, then equation of line w is:

y - 7 = 7(x - (-1))

y - 7 = 7x + 7

y = 7x + 14

Complete question is:

Line v has an equation of 7x - y= -5. Line w includes the point ( – 1,7) and is parallel to line v. What is the equation of line w?

User Tao Zhu
by
7.7k points

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