Questions: For #5-6, write each equation in standard form. 5. y = -(5/2)x - 3

Transcript text: For #5-6, write each equation in standard form. 5. $y=-\frac{5}{2}x-3$

Solution

Solution Steps

To convert the given equation into standard form, we need to rearrange it into the form $Ax + By = C$, where $A$, $B$, and $C$ are integers, and $A$ should be non-negative. We will eliminate the fraction by multiplying through by the denominator and then rearrange the terms.

Step 1: Start with the Given Equation

The given equation is

\[ y = -\frac{5}{2} x - 3 \]

Step 2: Eliminate the Fraction

To eliminate the fraction, we multiply the entire equation by $2$:

\[ 2y = -5x - 6 \]

Step 3: Rearrange to Standard Form

Next, we rearrange the equation to the standard form $Ax + By = C$. We can add $5x$ to both sides:

\[ 5x + 2y = -6 \]