Question

the slope of line x between (-7, 6) and (-4, 4) is $-\frac{2}{3}$. what is the slope of line x between (-1, 2) and (5, -2)?
a. $-\frac{3}{2}$
b. $-\frac{2}{3}$
c. $\frac{3}{2}$
d. $\frac{2}{3}$

Explanation:

Step1: Recall the slope formula

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

Step2: Identify the points

For the points \((-1, 2)\) and \((5, -2)\), we have \( x_1=-1 \), \( y_1 = 2 \), \( x_2=5 \), \( y_2=-2 \).

Step3: Calculate the slope

Substitute the values into the slope formula:
\( m=\frac{-2 - 2}{5 - (-1)}=\frac{-4}{6}=-\frac{2}{3} \).
Also, note that a line has a constant slope, so since the first part of line X has slope \( -\frac{2}{3} \), the slope between any two points on line X should be the same.

Answer:

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