SOLUTION: What is the slope and y-intercept for this problem 5x+6y=18 for y and from that answer find the corresponding value of y when x=12 and then solve the equation algebraically to f

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What is the slope and y-intercept for this problem 5x+6y=18 for y and from that answer find the corresponding value of y when x=12 and then solve the equation algebraically to f      Log On


   

Question 110330: What is the slope and y-intercept for this problem
5x+6y=18 for y
and from that answer find the corresponding value of y when x=12 and then solve the equation algebraically to find the length of the rectangle. find the width as well.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B6y=18 this equation describes a sloping line
slope is: -a%2Fb+=+-5%2F6
y_+intercept is found by setting x to 0:
the equation becomes by=c, and then we will have y+=+c%2Fb
so, y_+intercept+=+18%2F6+=+3
or:
solve 5x%2B6y=18 for y
6y+=+-+5x+%2B+18..........divide both sides by 6
y+=+%28-5%2F6%29x+%2B+18%2F6
y+=+-%285%2F6%29x+%2B+3.....slope_intercept form


find the corresponding value of y when x=12
y+=+-%285%2F6%29x+%2B+3
y+=+-%285%2F6%2912+%2B+3
y+=+-5%2A2+%2B+3
y+=+-10+%2B+3
y+=+-+7