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Put the following equation of a line into slope-intercept form, simplifying all fractions. 2y-4x=2 Answer:

Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline2y−4x=2 2 y-4 x=2 \newlineAnswer:

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Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.\newline2y−4x=2 2 y-4 x=2 \newlineAnswer:
  1. Isolate y-term: Isolate the y-term on one side of the equation.\newlineTo do this, we will start by adding 4x4x to both sides of the equation 2y−4x=22y - 4x = 2 to get 2y2y on one side.\newline2y−4x+4x=2+4x2y - 4x + 4x = 2 + 4x\newlineThis simplifies to:\newline2y=4x+22y = 4x + 2
  2. Add 4x4x: Divide every term by the coefficient of yy to solve for yy. The coefficient of yy is 22, so we divide each term by 22 to isolate yy. 2y2=4x2+22\frac{2y}{2} = \frac{4x}{2} + \frac{2}{2} This simplifies to: y=2x+1y = 2x + 1

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