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anonymous

  • one year ago

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)?

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  1. anonymous
    • one year ago
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    If the second line is parallel to the first line, then they must share the same slope, -2.

  2. anonymous
    • one year ago
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    So, you know that the equation of the line must be of this form: \[y = -2x + b\]

  3. anonymous
    • one year ago
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    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.

  4. anonymous
    • one year ago
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    thanks

  5. anonymous
    • one year ago
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    so would it be 2x+y=6

  6. anonymous
    • one year ago
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    Correct.

  7. courtneygraley009
    • one year ago
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    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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