Question

question 5
0.5 pts
find the slope between the points (1,3) and (4,-6).

• $\frac{1}{3}$
• $-\frac{1}{3}$
• -3
• 3

Explanation:

Step1: Recall the 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 the coordinates

Here, \( x_1 = 1 \), \( y_1 = 3 \), \( x_2 = 4 \), and \( y_2=-6 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-6 - 3}{4 - 1} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( -6 - 3=-9 \).
Simplify the denominator: \( 4 - 1 = 3 \).
So, \( m=\frac{-9}{3}=-3 \).

Answer:

-3 (corresponding to the option with -3)