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

The parallel 5x-4y=2,(4,-2) is y= 5/4 x-7

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

parallel

5 x - 4 y = 2, (4, - 2)

y = \frac{5}{4} x - 7

Solution steps

Find the line

y = mx + b

parallel to

5 x - 4 y = 2

that passes through

(4, - 2)

Find the slope of

5 x - 4 y = 2 : m = \frac{5}{4}

Compute the

y

intercept:

b = - 7

Construct the line equation

y = mx + b

where

m = \frac{5}{4}

and

b = - 7

y = \frac{5}{4} x - 7

(- 8, - 1), (- 8, - 3)

f (x) = \frac{3}{4 \frac{5}{2} + \frac{3}{2} x}

(0, 1), (4, 4)

f (x) = \frac{2 x}{5} + 2

f (x) = 25 x + 200