Question

Y − 6 =3/5(x + 5); (0, 8)

Answer 1

The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

Equation of a line

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

Learn more on equation of a line here: brainly.com/question/13763238

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