which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

-2x+3y=7

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

2. 2x-3y+9= -2

2x-3y= -11

Hope this helps

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