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A line is represented by the equation 3x+2y=4. What is another way to represent the same line? {:a) [y=-(3)/(2)x+2],b) [y=(3)/(2)x+2],c) [y=(3)/(2)x+4],d) [y=-(3)/(2)x+4]:}

A line is represented by the equation 3x+2y=43x+2y=4. What is another way to represent the same line?\newlinea) y=−32x+2y=-\frac{3}{2}x+2\newlineb) y=32x+2y=\frac{3}{2}x+2\newlinec) y=32x+4y=\frac{3}{2}x+4\newlined) y=−32x+4y=-\frac{3}{2}x+4

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Q. A line is represented by the equation 3x+2y=43x+2y=4. What is another way to represent the same line?\newlinea) y=−32x+2y=-\frac{3}{2}x+2\newlineb) y=32x+2y=\frac{3}{2}x+2\newlinec) y=32x+4y=\frac{3}{2}x+4\newlined) y=−32x+4y=-\frac{3}{2}x+4
  1. Rearrange equation for y: Rearrange the given equation to solve for y.\newlineOriginal equation: 3x+2y=43x + 2y = 4.\newlineSubtract 3x3x from both sides: 2y=−3x+42y = -3x + 4.\newlineDivide all terms by 22: y=−(32)x+2y = -\left(\frac{3}{2}\right)x + 2.
  2. Check provided options: Check the options provided to see which matches the rearranged equation.\newlineOptions: \newlineA) y=−32x+2y = -\frac{3}{2}x + 2\newlineB) y=32x+2y = \frac{3}{2}x + 2\newlineC) y=32x+4y = \frac{3}{2}x + 4\newlineD) y=−32x+4y = -\frac{3}{2}x + 4\newlineCorrect match: Option A.

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