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

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) (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
:
parallel lines have the same slope, therefore m = -3
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so far we have
:
y = -3x + b
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we are given the point (2, 3) contained by the line we seek
:
3 = -3(2) + b
:
b = 9
:
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the point slope form of the line is
:
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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