What is the parallel 2x-5y=15,(1/2 ,-3/4) ?

The parallel 2x-5y=15,(1/2 ,-3/4) is y= 2/5 x-19/20

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parallel 2x-5y=15,(1/2 ,-3/4)

parallel

2 x - 5 y = 15, (\frac{1}{2}, - \frac{3}{4})

y = \frac{2}{5} x - \frac{19}{20}

Solution steps

Find the line

y = mx + b

parallel to

2 x - 5 y = 15

that passes through

(\frac{1}{2}, - \frac{3}{4})

Find the slope of

2 x - 5 y = 15 : m = \frac{2}{5}

Compute the

y

intercept:

b = - \frac{19}{20}

Construct the line equation

y = mx + b

where

m = \frac{2}{5}

and

b = - \frac{19}{20}

y = \frac{2}{5} x - \frac{19}{20}

What is the parallel 2x-5y=15,(1/2 ,-3/4) ?
The parallel 2x-5y=15,(1/2 ,-3/4) is y= 2/5 x-19/20