the form of a linear equation where the equation is expressed as y = mx + b is known as the ______________ form.
in the equation y = mx + b, m represents the ______________ of the line.
the b in the equation y = mx + b represents the ______________.
the slope m can be calculated as the ______________ in y divided by the change in x.
when converting a standard form equation ax + by = c to slope - intercept form, you isolate y to find its ______________.
the formula for slope - intercept form is $y = \underline{\quad\quad}x + b$.
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 ______________.

Question

Accepted Answer

### Question 1:
# Explanation:
## Step1: Recall linear equation forms
The form $ y = mx + b $ is defined as slope - intercept form.
# Answer:
slope - intercept

### Question 2:
# Explanation:
## Step1: Recall slope - intercept form components
In $ y=mx + b $, $ m $ is the slope (or rate of change) of the line.
# Answer:
slope (or rate of change)

### Question 3:
# Explanation:
## Step1: Recall slope - intercept form components
In $ y = mx + b $, $ b $ is the y - intercept (the value of $ y $ when $ x = 0 $).
# Answer:
y - intercept

### Question 4:
# Explanation:
## Step1: Recall slope formula
The slope $ m $ is calculated as the change in $ y $ (denoted as $ \Delta y $) divided by the change in $ x $ (denoted as $ \Delta x $), and the formula for slope is $ m=\frac{\text{change in }y}{\text{change in }x}=\frac{\Delta y}{\Delta x} $, so the change in $ y $ is the "rise".
# Answer:
rise

### Question 5:
# Explanation:
## Step1: Recall converting standard to slope - intercept
When converting $ Ax + By = C $ to slope - intercept form ($ y=mx + b $), we isolate $ y $ to get the slope - intercept form.
# Answer:
slope - intercept form

### Question 6:
# 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.
# Answer:
m

### Question 7:
# Explanation:
## Step1: Solve for $ y $ in $ Ax+By = C $
We start with $ Ax + By=C $. Subtract $ Ax $ from both sides: $ By=-Ax + C $. Then divide both sides by $ B $ (assuming $ B
eq0 $): $ y =-\frac{A}{B}x+\frac{C}{B} $. So the operation after $ By=-Ax + C $ is divide both sides by $ B $.
# Answer:
divide both sides by $ B $

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 1:

Step1: Recall linear equation forms

Step1: Recall slope - intercept form components

Step1: Recall slope - intercept form components

Answer:

Question 2: