Question

write the equation of the line parallel to 3/2 x+5/3y=7​

Answer 1

Answer:

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Step-by-step explanation:

What is the equation of the straight line parallel to the line 2 X + 3 Y + 7 = to 0 and passing through the point (5,4)?

This problem can be done in two methods

Method I

2x+3y+7=0

3y=-2x-7

y=-2/3x-7/3

This is of the form y=mx+c

Slope=-2/3

slope of the parallel line also -2/3

This line passes through the point (5,4)

Equation of the line (y-y1)=m(x-x1)

(y-4)=-2/3(x-5)

3y-12=-2x+10

2x+3y=22 or 2x+3y-22=0

Method II

Any straight line which is parallel to 2x+3y+7=0 is of the form 2x+3y=k

This passes through (5,4)

2(5)+3(4)=k

k=22

The required equation is 2x+3y=22