Question 216116
Solve for x/2  + y/5=1 for y.


Answer : y= -5/2x +5


Step 1.  The answer is in slope-intercept form where m is the slope and b is the y-intercept when x=0 at point (0,b).  In this example, the answer reveals that m=-5/2 and b=5.


Step 2.  To get this equation from {{{x/2+y/5=1}}}, use the following steps:


Multiply by 10 to both sides of the equation to get rid of the denominators.


{{{10*x/2+10*y/5=10*1}}}


{{{5x+2y=10}}}


Subtract 5x from both sides of the equation


{{{5x+2y-5x=10-5x}}}


{{{2y=-5x+10}}}


Divide 2 to both sides of the equation


{{{2y/2=-5x/2+10/2}}}


{{{y=-5x/2+5}}}  ANSWER


Now here's a plot and note the slope m=-5/2 and y-intercept b=5 at point (0,5)


{{{graph( 600, 600, -10, 10, -10, 10, -5x/2+5)}}}


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit 

http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit 

http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J