Find the slope of the line through P and Q. P(−3, 1), Q(8, −6)

1. Identify the coordinates of points \( P \) and \( Q \): \( P(-3, 1) \), \( Q(8, -6) \).

2. Use the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

3. Substitute \( y_2 = -6 \), \( y_1 = 1 \), \( x_2 = 8 \), \( x_1 = -3 \) into the formula:

m = \frac{-6 - 1}{8 - (-3)}

4. Simplify the subtraction and addition:

m = \frac{-7}{8 + 3}

5. Simplify further:

m = \frac{-7}{11}

The slope of the line is \( \frac{-7}{11} \).