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Verified Answer :

Here is the work to solve

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Answer:

\(y=-2x+2.5\)

Step-by-step explanation:

we have

\(4x+2y=5\) ----> this is the equation of the line in standard form

Convert to a slope-intercept form

Isolate the variable y

Subtract  \(4x\) both sides

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

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

Divide by \(2\) both sides

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

\(y=-2x+2.5\) ------> equation of the line into slope intercept form