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$Put the following equation of a line into slope-intercept form, simplifying all fractions. x+3y=-21 Answer:$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $\newline$ $x+3 y=-21$ $\newline$ Answer:

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Solve logarithmic equations with multiple logarithms

Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.

\newline

x+3 y=-21

\newline

Answer:

Move $x$ to right: To convert the equation into slope-intercept form, which is $y = mx + b$ , we need to solve for $y$ . Let's start by moving the $x$ term to the right side of the equation. $\newline$ $x + 3y = -21$ $\newline$ Subtract $x$ from both sides to isolate the $y$ term. $\newline$ $3y = -x - 21$
Subtract $x$ : Now, we need to solve for $y$ by dividing all terms by the coefficient of $y$ , which is $3$ . $\newline$ $\frac{3y}{3} = \frac{-x}{3} - \frac{21}{3}$ $\newline$ This simplifies to: $\newline$ $y = \left(-\frac{1}{3}\right)x - 7$

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