What is the parallel 3y=-2x+6,(2,2) ?

The parallel 3y=-2x+6,(2,2) is y=-2/3 x+10/3

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parallel 3y=-2x+6,(2,2)

parallel

3 y = - 2 x + 6, (2, 2)

y = - \frac{2}{3} x + \frac{10}{3}

Solution steps

Find the line

y = mx + b

parallel to

3 y = - 2 x + 6

that passes through

(2, 2)

Find the slope of

3 y = - 2 x + 6 : m = - \frac{2}{3}

Compute the

y

intercept:

b = \frac{10}{3}

Construct the line equation

y = mx + b

where

m = - \frac{2}{3}

and

b = \frac{10}{3}

y = - \frac{2}{3} x + \frac{10}{3}

What is the parallel 3y=-2x+6,(2,2) ?
The parallel 3y=-2x+6,(2,2) is y=-2/3 x+10/3