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parallel lines have same slope so y=mx+b then use point and slope to find b

9x-3=2y
y=9/2 x - 3/2 so slope is 9/2

plug in 9/2 and -5 for x and 3 for y and solve for b

are you following me

yes

after i plug it in than what is next

what did you get for b

b=51/2 so 3=-45/2 + b add -45/2 to both sides and change 3 to 6/2 so you can add 45/2
y=9/2 x +51/2

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do you have any more questions

yes

(7,9); 2x+y=3

checking to see if it is a solution?

2(7) + 9 = 3
14+ 9 = 3 NOOOO so not a solution

transform to y=mx+b by subtracting 4x from bot h sides then divide both sides by 3 to get y =

do that first and tell me what you get

ok

would it b 12

y=-4/3x + 7/3 now plug in (-5,5) and slope = -4/3 into y=mx+b and solve for b

(5, -5) sorry

-5=-4/3(5) + b

(5, -5) sorry

-5=(-4/3)(5)+b

-5=-20/3 +b add 20/3 so 5 which is 15/3+20/3=35/3

-15/3 + 20/3 = 5/3

b=5/3 same slope of -4/3 so y=-4/3x +5/3

got it

no

what is wrong

do you need me to put it all together in one post

please

got it now?