Question

exit ticket (2.6): slope from 2 points a

1. find slope from the two points: $\frac{y_2 - y_1}{x_2 - x_1}$

$(-3, 3) \
ightarrow (9, 7)$

Explanation:

Step1: Identify coordinates

Let \((x_1, y_1) = (-3, 3)\) and \((x_2, y_2) = (9, 7)\).

Step2: Apply slope formula

Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{7 - 3}{9 - (-3)}\)

Step3: Simplify numerator and denominator

Numerator: \(7 - 3 = 4\)
Denominator: \(9 - (-3)=9 + 3 = 12\)
So \(m=\frac{4}{12}\)

Step4: Reduce the fraction

\(\frac{4}{12}=\frac{1}{3}\)

Answer:

\(\frac{1}{3}\)