anonymous
  • anonymous
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)?
Algebra
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anonymous
  • anonymous
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)?
Algebra
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
If the second line is parallel to the first line, then they must share the same slope, -2.
anonymous
  • anonymous
So, you know that the equation of the line must be of this form: \[y = -2x + b\]
anonymous
  • anonymous
How do you find the value of b? You know that the line passes through (2, 2). Plug in the values x=2, y = 2 and solve for b.

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anonymous
  • anonymous
thanks
anonymous
  • anonymous
so would it be 2x+y=6
anonymous
  • anonymous
Correct.
courtneygraley009
  • courtneygraley009
Slope of a line is the value which defines the direction (horizontal, vertical, increasing, or decreasing) and steepness of that line. Using this online slope calculator http://www.acalculator.com/slope-calculator.html, you can easily determine the slope of the line.

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