What is the parallel 2x+3y=5,(-1/2 , 5/3) ?

The parallel 2x+3y=5,(-1/2 , 5/3) is y=-2/3 x+4/3

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parallel 2x+3y=5,(-1/2 , 5/3)

parallel

y = - \frac{2}{3} x + \frac{4}{3}

Solution steps

Find the line

y = mx + b

parallel to

2 x + 3 y = 5

that passes through

(- \frac{1}{2}, \frac{5}{3})

Find the slope of

2 x + 3 y = 5 : m = - \frac{2}{3}

Compute the

y

intercept:

b = \frac{4}{3}

Construct the line equation

y = mx + b

where

m = - \frac{2}{3}

and

b = \frac{4}{3}

y = - \frac{2}{3} x + \frac{4}{3}

What is the parallel 2x+3y=5,(-1/2 , 5/3) ?
The parallel 2x+3y=5,(-1/2 , 5/3) is y=-2/3 x+4/3