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

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

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parallel 3x+4y=5,(3,-2)

parallel

y = - \frac{3}{4} x + \frac{1}{4}

Solution steps

Find the line

y = mx + b

parallel to

3 x + 4 y = 5

that passes through

(3, - 2)

Find the slope of

3 x + 4 y = 5 : m = - \frac{3}{4}

Compute the

y

intercept:

b = \frac{1}{4}

Construct the line equation

y = mx + b

where

m = - \frac{3}{4}

and

b = \frac{1}{4}

y = - \frac{3}{4} x + \frac{1}{4}

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