Question

the slope of the line through the points (4, -2) and (8, 5) is \\(\frac{7}{4}\\).
\\(\circ\\) false
\\(\circ\\) true

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

Here, \( x_1 = 4 \), \( y_1 = -2 \), \( x_2 = 8 \), \( y_2 = 5 \).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{5 - (-2)}{8 - 4} = \frac{5 + 2}{4} = \frac{7}{4} \).

Answer:

True