Question

find the slope of the line passing through the points given below or state that the slope is undefined. then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (3,2) and (4,5) select the correct choice below and, if necessary, fill in the answer box within your choice. a. the slope is b. the slope is undefined. indicate whether the line through the points rises, falls, is horizontal, or is vertical. choose the correct answer below. a. the line falls from left to right b. the line is vertical c. the line is horizontal d. the line rises from left to right. 15 of 42 this test: 42 point(s) possible this question: 1 point(s) possible jasmine harmo

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1 = 3, y_1 = 2, x_2 = 4, y_2 = 5 \).

Step2: Substitute values into formula

Substitute into the formula: \( m=\frac{5 - 2}{4 - 3}=\frac{3}{1}=3 \).

Step3: Analyze slope sign

Since the slope \( m = 3>0 \), the line rises from left to right.

Answer:

For the slope part: A. The slope is \( 3 \)
For the direction part: D. The line rises from left to right