Posted by **Sandi** on Monday, November 22, 2010 at 11:12pm.

Hi I need to write these systems of equalities in slope intercept form so I can graph them. 20x+4.5y<=60 and 12x+20y<=60.

y=4 4/9x+ 13 1/3 (I think this is wrong)

y=-3/5x+3

- math11Plelase check -
**Reiny**, Monday, November 22, 2010 at 11:39pm
Does your teacher insist that you have the relations in slope y-intercept form?

I will show you an easy way to sketch a graph if they are written in the form

ax + by = c

e.g. your 12x + 20y ≤ 60 or the boundary 12x + 20y = 60

put your pinkie finger over the x term (you let x=0)

what you see is 20y = 60

so in your head , y = 3 ---> the point (0,3), the x-intercept

now put your pinkie finger over the y term (you let y = 0)

what you see is 12x=60

so in your head , x = 5 ---> the point (5,0)

so now you have 2 simple points to graph your boundary.

do the same thing for the first one,

you might want to use your calculator for

4.5y = 60

y = 13 1/3

btw, your equations in the slope y-intercept form should have been

y ≤ - (4 4/9)x + 13 1/3

last one is right

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