# Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x+y=-5, include your work in your final answer.

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MathengThe general equation of the line is y = mx+c Where m is the slope and c is a constant the given line ⇒ 2x+y = -5 ⇒⇒ y = -2x -5 The slope of the given line = -2 The required line is parallel to the given line so the slope of the required line = -2 ⇒ ∴ y = -2x + c →(1) the required line has y-intercept of 2 So, the line is passing through ( 0 , 2) substitute in (1) to find c ∴ 2 = -2 * 0 + c ⇒ c =2 ∴ y = -2x + 2 The equation of the line, in standard form ⇒⇒ 2x + y = 2