Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 3 1 pts a line is drawn so that it passes through the points (…

Question

question 3 1 pts a line is drawn so that it passes through the points (3, 4) and (2, 1) . what is the slope of the line?
(\frac{1}{3})
3
(-\frac{1}{3})
-3

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

Let \((x_1, y_1)=(3, 4)\) and \((x_2, y_2)=(2, 1)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{1 - 4}{2 - 3}=\frac{-3}{-1}=3 \).

Answer:

3 (corresponding to the option "3")