What is the parallel 3x-2y=8,(4,-2) ?

The parallel 3x-2y=8,(4,-2) is y= 3/2 x-8

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parallel 3x-2y=8,(4,-2)

parallel

3 x - 2 y = 8, (4, - 2)

y = \frac{3}{2} x - 8

Solution steps

Find the line

y = mx + b

parallel to

3 x - 2 y = 8

that passes through

(4, - 2)

Find the slope of

3 x - 2 y = 8 : m = \frac{3}{2}

Compute the

y

intercept:

b = - 8

Construct the line equation

y = mx + b

where

m = \frac{3}{2}

and

b = - 8

y = \frac{3}{2} x - 8