Question

ting equations in slope-in ns in slope-intercept form. you must 2) -5x + 6y = 12

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the equation $- 5x+6y = 12$ for $y$.

Step2: Isolate the term with y

Add $5x$ to both sides of the equation:
\[

$$\begin{align*} -5x + 6y+5x&=5x + 12\\ 6y&=5x + 12 \end{align*}$$

\]

Step3: Solve for y

Divide each term in the equation $6y=5x + 12$ by 6:
\[
y=\frac{5}{6}x+\frac{12}{6}
\]
Simplify $\frac{12}{6}$ to get $2$. So $y = \frac{5}{6}x + 2$

Answer:

The equation in slope - intercept form is $y=\frac{5}{6}x + 2$