Question

this question has two parts. first, answer part a. then, answer part b.
part a
a. write the given equation in slope - intercept form.
14x - 7y = 21
part b
b. identify the slope m and the y - intercept b.
m =
b =

Explanation:

Part A

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 $14x-7y = 21$ for $y$.

Step2: Isolate the $y$ term

Subtract $14x$ from both sides of the equation: $- 7y=-14x + 21$.

Step3: Solve for $y$

Divide each term in the equation $-7y=-14x + 21$ by $-7$: $y=\frac{-14x}{-7}+\frac{21}{-7}$.
Simplify the fractions: $y = 2x-3$.

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. From the equation $y = 2x-3$ (obtained in Part A), we can identify $m$ and $b$.

Step2: Identify $m$ and $b$

Comparing $y=2x - 3$ with $y=mx + b$, we see that the coefficient of $x$ (which is $m$) is $2$ and the constant term (which is $b$) is $- 3$.

Answer:

$y = 2x-3$

Part B