Question

1. use the graph below to answer a and b.

a. what is the slope of the line?
b. what is the equation of the line?

Explanation:

Step1: Recall slope formula for horizontal line

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$. For a horizontal line, $y_2 = y_1$.

Step2: Calculate slope

Choose two points on the line, e.g., $(0, -7)$ and $(2, -7)$.
$m = \frac{-7 - (-7)}{2 - 0} = \frac{0}{2} = 0$

Step3: Identify line equation form

Horizontal lines have the form $y = k$, where $k$ is the constant y-value.

Step4: Determine the constant y-value

The line lies at $y = -7$ for all x-values.

Answer:

a. $0$
b. $y = -7$