Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 9x = -6

Explanation:

Step1: Add 9x to both sides

To isolate the term with \( y \), we add \( 9x \) to both sides of the equation \( 3y - 9x = -6 \). This gives us \( 3y = 9x - 6 \).

Step2: Divide by 3

Next, we divide every term in the equation \( 3y = 9x - 6 \) by 3 to solve for \( y \). So, \( \frac{3y}{3}=\frac{9x}{3}-\frac{6}{3} \), which simplifies to \( y = 3x - 2 \).

Answer:

\( y = 3x - 2 \)