Questions: 3y+11x3=x+4

3y+11x3=x+4

Solution

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Solution Steps

To express the equation in slope-intercept form (y = mx + b), we need to solve for y in terms of x. This involves isolating y on one side of the equation.

Step 1: Rearrange the Equation

Start with the given equation:

\[ 3y + 33x = x + 4 \]

Step 2: Isolate \( y \)

Subtract \( 33x \) from both sides:

\[ 3y = x + 4 - 33x \]

Simplify the right side:

\[ 3y = -32x + 4 \]

Step 3: Solve for \( y \)

Divide every term by 3 to solve for \( y \):

\[ y = \frac{-32x}{3} + \frac{4}{3} \]

Final Answer

The equation in slope-intercept form is:

\[ \boxed{y = -\frac{32}{3}x + \frac{4}{3}} \]

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