Question

the slope of the line through the points (0, -3) and (4, 9) is:
○ 2.
○ \\(\frac{3}{2}\\).
○ 3.
○ 1.

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, \( (x_1, y_1) = (0, -3) \) and \( (x_2, y_2) = (4, 9) \).

Step3: Substitute into formula

\( m = \frac{9 - (-3)}{4 - 0} = \frac{9 + 3}{4} = \frac{12}{4} = 3 \).

Answer:

3.