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$Put the following equation of a line into slope-intercept form, simplifying all fractions. 20 y-12 x=-20 Answer:$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $\newline$ $20 y-12 x=-20$ $\newline$ Answer:

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Find the inverse of a linear function

Full solution

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

\newline

20 y-12 x=-20

\newline

Answer:

Isolate y term: Isolate the term with y on one side of the equation. $\newline$ To do this, we will add $12x$ to both sides of the equation $20y - 12x = -20$ . $\newline$ $20y - 12x + 12x = -20 + 12x$ $\newline$ This simplifies to: $\newline$ $20y = 12x - 20$
Divide by coefficient: Divide every term by the coefficient of $y$ to solve for $y$ . The coefficient of $y$ is $20$ , so we divide each term by $20$ to isolate $y$ . $\frac{20y}{20} = \frac{12x}{20} - \frac{20}{20}$ This simplifies to: $y = \frac{12}{20}x - 1$
Simplify fraction: Simplify the fraction in the slope term. $\newline$ The fraction $\frac{12}{20}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $(\frac{12}{20}) = (\frac{12 \div 4}{20 \div 4})$ $\newline$ This simplifies to: $\newline$ $(\frac{12}{20}) = \frac{3}{5}$ $\newline$ So the equation becomes: $\newline$ $y = (\frac{3}{5})x - 1$

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