slope intercept

[dragonflizes]

I need to determine whether each pair of equations represents parallel lines. I need to write it in slope-intercept form(y=mx+b)

3x=5y-2
10y=4-6x
I have this so far

5y=3x+2<<<< Correct - now isolate 'y' on the left-hand-side

(5y)/5 = (3x + 2)/5

y = (3/5)x + (2/5)
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10y=-6+4 <<<< Incorrect

10y = -6x + 4

(10y)/10 = (-6x + 4)/10

Now continue as shown above....
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where do I go from here?

 

[Keshav]

You are almost done....

Just compare both line equations with y = mx +c where m is the slope and c is the intercept. For lines to be parallel, slopes of the line should be same..

So, if you compare the first line ( y = (3/5)x +2/5) with y = mx +c, you will get slope as m = 3/5

If you compare the second line y = (-6/10) x + 4/10 with y = mx +c, you will get slope as m = -6/10 = -3/5

Since both slopes are not same (The slope of first line is (3/5) whereas slope of second line is (-3/5) ), the lines are not parallel...