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

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

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

parallel

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

y = \frac{3}{4} x - \frac{5}{4}

Solution steps

Find the line

y = mx + b

parallel to

3 x - 4 y = 2

that passes through

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

Find the slope of

3 x - 4 y = 2 : m = \frac{3}{4}

Compute the

y

intercept:

b = - \frac{5}{4}

Construct the line equation

y = mx + b

where

m = \frac{3}{4}

and

b = - \frac{5}{4}

y = \frac{3}{4} x - \frac{5}{4}

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