SOLUTION: Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. Parallel to the line y = -3x; containing the p

Algebra ->  Coordinate-system -> SOLUTION: Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. Parallel to the line y = -3x; containing the p      Log On


   



Question 1063039: Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. Parallel to the line y = -3x; containing the point (2, 3)
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We want the form y = mx + b, where m is the lope and b is the y intercept
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parallel lines have the same slope, therefore m = -3
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so far we have
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y = -3x + b
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we are given the point (2, 3) contained by the line we seek
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3 = -3(2) + b
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b = 9
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the point slope form of the line is
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y = -3x +9
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here is a graph of the two lines
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y = -3x is the red line and y = -3x +9 is the green line
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+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%2C+-3x%2B9%29+
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