Question

when converting a standard form equation $ax + by = c$ to slope - intercept form, you isolate $y$ to find its \underline{\quad\quad\quad\quad\quad\quad}.

the formula for slope - intercept form is $y = \underline{\quad\quad\quad\quad} x + b$.

to solve for $y$ in an equation formatted as $ax + by = c$, one must first subtract $ax$ from both sides, leading to $by=-ax + c$ and then \underline{\quad\quad\quad\quad\quad\quad} $= -\frac{a}{b}x+\frac{c}{b}$.

Explanation:

Step1: Identify purpose of slope-intercept form

Slope-intercept form shows slope and y-intercept.

Step2: Recall slope-intercept formula

The formula is $y = mx + b$, where $m$ is slope.

Step3: Solve for y in standard form

After $By = -Ax + C$, divide by B: $y = -\frac{A}{B}x + \frac{C}{B}$.

Answer:

slope and y-intercept
m
divide both sides by B