Question

pondus lockdown browser
s and you will have up to 60 minutes to complete.
use a handheld approved calculator. however, you may not need a calculator on every question.
cific content and offer data to identify strengths and weaknesses.
bra ii classes (9th grade - 11th grade)
rough december 19th. you may begin this assessment anytime in the window.
what is the slope of \\(\overleftrightarrow{hm}\\), shown in the standard \\((x,y)\\) coordinate plane below?
\\(\

$$\begin{array}{c}\ \\begin{tikzpicture}scale=0.8\ \\draw-> (-3,0) -- (3,0) noderight {$x$};\ \\draw-> (0,-5) -- (0,3) nodeabove {$y$};\ \\drawthick (-2,2) -- (2,-4);\ \\filldraw (-2,2) circle (2pt) nodeabove left {$h(-2,2)$};\ \\filldraw (0,-1) circle (2pt) nodebelow right {$k(0,-1)$};\ \\filldraw (2,-4) circle (2pt) nodebelow right {$m(2,-4)$};\ \\end{tikzpicture}\ \\end{array}$$

\

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates of H and M

Point \( H \) is \( (-2, 2) \), so \( x_1 = -2 \), \( y_1 = 2 \). Point \( M \) is \( (2, -4) \), so \( x_2 = 2 \), \( y_2 = -4 \).

Step3: Substitute into slope formula

Substitute values into \( m = \frac{y_2 - y_1}{x_2 - x_1} \):
\( m = \frac{-4 - 2}{2 - (-2)} = \frac{-6}{4} = -\frac{3}{2} \).

Answer:

\(-\frac{3}{2}\)