SOLUTION: The problem reads, write the slope-intercept form of the equation of the line described. through: (5,5) parallel to: y=2/5x+1

Algebra ->  Linear-equations -> SOLUTION: The problem reads, write the slope-intercept form of the equation of the line described. through: (5,5) parallel to: y=2/5x+1      Log On


   

Question 877601: The problem reads, write the slope-intercept form of the equation of the line described. through: (5,5) parallel to: y=2/5x+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have equal slopes.


The slope of +y=%282%2F5%29x%2B1 is 2/5


The slope of this new line is also 2/5


So m+=+2%2F5


-------------------------------------------------------


y+=+mx%2Bb


y+=+%282%2F5%29x%2Bb Plug in m+=+2%2F5


5+=+%282%2F5%29%285%29%2Bb Plug in (x,y) = (5,5). Solve for b.


5+=+%282%2F5%29%285%2F1%29%2Bb


5+=+%282%2A5%29%2F%285%2A1%29%2Bb


5+=+10%2F5%2Bb


5+=+2%2Bb


5-2+=+b


3+=+b


b+=+3


Since m+=+2%2F5 and b+=+3, we know the final answer is y+=+%282%2F5%29x+%2B+3