SOLUTION: Please help me solve: What is the slope-intercept form of the equation of the line passing through the point (0,5) and parallel to the line y= -3x-1

Algebra ->  Equations -> SOLUTION: Please help me solve: What is the slope-intercept form of the equation of the line passing through the point (0,5) and parallel to the line y= -3x-1      Log On


   

Question 546712: Please help me solve:
What is the slope-intercept form of the equation of the line passing through the point (0,5) and parallel to the line y= -3x-1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope intercept form looks like:
+y+=+mx+%2B+b+
+m+ = slope
+b+ = y-intercept
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The line +y+=+-3x+-+1+
Is in the form +y+=+mx+%2B+b+, so
+m+=+-3+
Any line parallel to this line will also
have slope = +-3+
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So far, I have +y+=+-3x+%2B+b+, so
I need to find +b+.
Plug the given point (0,5) into the equation
+5+=+-3%2A0+%2B+b+
+b+=+5+
The equation is +y+=+-3x+%2B+5+
Here's a plot of the 2 lines:
+graph%28+400%2C+400%2C+-7%2C+7%2C+-7%2C+7%2C+-3x+%2B+5%2C+-3x+-1%29+