SOLUTION: Write the two equations in slope-intercept form 1. 5x-y=12 x+2y=9 2. x-8=y y+2=x

Algebra ->  Linear-equations -> SOLUTION: Write the two equations in slope-intercept form 1. 5x-y=12 x+2y=9 2. x-8=y y+2=x       Log On


   

Question 147376: Write the two equations in slope-intercept form
1. 5x-y=12
x+2y=9
2. x-8=y
y+2=x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1
5x-y=12 Start with the first equation.


-y=12-5x Subtract 5x from both sides.


y=%2812-5x%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=5x-12 Simplify.


So the equation is now in slope intercept form y=mx%2Bb where the slope is m=5 and the y-intercept is b=-12, which is the point (0,-12).



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x%2B2y=9 Start with the second equation.


2y=9-x Subtract x from both sides.


y=%289-x%29%2F%282%29 Divide both sides by 2 to isolate y.


y=-%281%2F2%29x%2B9%2F2 Simplify.


So the equation is now in slope intercept form y=mx%2Bb where the slope is m=-1%2F2 and the y-intercept is b=9%2F2, which is the point .