SOLUTION: slope = 2/5, (10,3) is on the line. Find the y-intercept: y = mx + b

Algebra ->  Proportions  -> Lessons -> SOLUTION: slope = 2/5, (10,3) is on the line. Find the y-intercept: y = mx + b      Log On


   

Question 691509: slope = 2/5, (10,3) is on the line.
Find the y-intercept: y = mx + b
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

slope m=+2%2F5, the point (x,y)=(10,3) is on the line
Find:
the y-intercept

y+=+mx+%2B+b .....plug in m=+2%2F5, x=10, and y=3
3+=+%28+2%2F5%2910+%2B+b....solve for b
3+=++20%2F5+%2B+b
3+=++4+%2B+b
3-4+=+b
highlight%28-1+=+b%29.......the y-intercept is at (0,-1)

+graph%28+500%2C+500%2C+-6%2C+5%2C+-10%2C+10%2C+%28+2%2F5%29x-1+%29+