SOLUTION: What is the value of y for the line that has a slope of -2/3 and passes through the points (3,5) and (7,y)?

Algebra ->  Coordinate-system -> SOLUTION: What is the value of y for the line that has a slope of -2/3 and passes through the points (3,5) and (7,y)?      Log On


   

Question 117559: What is the value of y for the line that has a slope of -2/3 and passes through the points (3,5) and (7,y)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the given slope formula


-2%2F3=%28y-5%29%2F%287-3%29 Plug in m=-2%2F3, y%5B2%5D=y, y%5B1%5D=5, x%5B2%5D=7, and x%5B1%5D=3



-2%2F3=%28y-5%29%2F4 Subtract


-8%2F3=y-5 Multiply both sides by 4


-8%2F3%2B5=y Add 5 to both sides


7%2F3=y Combine like terms

So our answer is y=7%2F3