which is the equation of a line that is parallel to 2x+5y=4 and goes through the point (5,-4)?
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1 Answer

find slope of 2x + 5y = 4

2x + 5y = 4

5y = -2x + 4

y = (-2/5)x + 4/5

slope = -2/5

parallel = same slope

slope = -2/5 and it goes through the point (5,-4)

point-slope form:

y - y1 = m ( x - x1 )

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

y + 4 = (-2/5)x + 2

y = (-2/5)x - 2
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