Question

question 8 (1 point)
in the square graphed below, what is the slope of line segment ac?
graph of square with vertices a(-4,-4), b(-4,4), c(4,4), d(4,-4)
a. 4
b. 2
c. 1
d. -1
e. -4
multiple choice options with circles: a a, b e, c c, d d, e b

Explanation:

Step1: Recall 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 coordinates of A and C

Point \( A \) is \((-4, -4)\) and point \( C \) is \((4, 4)\). So \( x_1=-4, y_1 = - 4, x_2 = 4, y_2=4 \).

Step3: Calculate the slope

Substitute into the slope formula: \( m=\frac{4-(-4)}{4-(-4)}=\frac{4 + 4}{4 + 4}=\frac{8}{8}=1 \).

Answer:

C. 1