Question

1. what is the slope of the ordered pairs (3,5) and (-4,6)? type a response

Explanation:

Step1: Recall 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 coordinates

Let \( (x_1, y_1)=(3, 5) \) and \( (x_2, y_2)=(-4, 6) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{6 - 5}{-4 - 3} \).

Step4: Simplify numerator and denominator

Numerator: \( 6 - 5 = 1 \). Denominator: \( -4 - 3=-7 \). So \( m = \frac{1}{-7}=-\frac{1}{7} \).

Answer:

\(-\frac{1}{7}\)