Problem

Rewrite the following equation in slope-intercept form: \(3x - 2y = 6\)

Answer

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Answer

Then we divide each term by \(-2\) to solve for y, which gives us \(y = \frac{3}{2}x - 3\).

Steps

Step 1 ：The slope-intercept form is typically represented as \(y = mx + b\), where m is the slope and b is the y-intercept.

Step 2 ：To rewrite \(3x - 2y = 6\) in slope-intercept form, we need to solve for y. First, we isolate y by subtracting \(3x\) from both sides of the equation to get \(-2y = -3x + 6\).

Step 3 ：Then we divide each term by \(-2\) to solve for y, which gives us \(y = \frac{3}{2}x - 3\).

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