SOLUTION: Find the equation in slope-intercept form that is parallel to y = 5x - 9 and goes through (2,1) I need help with this. I have tried numerous ways and I am so confused now. t

Algebra ->  Graphs -> SOLUTION: Find the equation in slope-intercept form that is parallel to y = 5x - 9 and goes through (2,1) I need help with this. I have tried numerous ways and I am so confused now. t      Log On


   

Question 844330: Find the equation in slope-intercept form that is parallel to y = 5x - 9 and goes through (2,1)
I need help with this. I have tried numerous ways and I am so confused now.
thank you,
Sharon Hoselton
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

the standard slope-intercept form for an equation of a line is y+=+green%28m%29x+%2B+b

  where m is the slope and b the y-intercept.

Line parallel to y = 5x - 9 and goes through (2,1) 

y+=+green%285%29x+-+9+  m = 5 for this line

New Line:  Parallel Lines have same slope

y+=+green%285%29x+%2B+b+   |Using P(2,1)to solve for b

1+=+green%285%292+%2B+b+

      -9 = b

y+=+green%285%29x+-9+   | In slope-intercept form

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation in slope-intercept form that is parallel to y = 5x - 9 and goes through (2,1)
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y = 5x - 9 is in slope-intercept form, y = mx + b
m is the slope, b is the y-intercept.
---
The slope is 5
All parallel lines have the same slope.
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--> find AN equation (not the equation) thru (2,1) with a slope of 5
Use y = mx + b and the point to find b
1 = 5*2 + b
b = -9
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--> y = 5x - 9