Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant
so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8
equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4
B is answer
In order to compare them they need to have the same denominator. Which is 6
Multiply 4/3 by 2/2. You get 8/6
8/6>7/6
4/3>7/6
Assuming 5/2y is the fraction,
= y + 5/2y + 10
You can divide the entire fraction (both numerator and denominator) by 2
= y + 2.5/y + 10
That is as far simplified, or 'lowest terms' as it gets.
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A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
The 2 and + are out since they don't have variables(and the + is just a +).
So 4 and x are left. x is a variable, not a coefficient, so the last(and correct) answer is 4.
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hope it helps