Question

1. (7, -6), (6, 0)
2. (-6, 2), (0, 1)
3. (-5, -3), (7, 0)
4. (6, -2), (4, 6)

Explanation:

Assuming the problem is to find the slope between each pair of points, we use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Let's solve each sub - question:

Question 14: Points \((7, - 6)\) and \((6,0)\)

Step 1: Identify \(x_1,y_1,x_2,y_2\)

Let \((x_1,y_1)=(7, - 6)\) and \((x_2,y_2)=(6,0)\)

Step 2: Apply the slope formula

\(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-(-6)}{6 - 7}=\frac{0 + 6}{-1}=\frac{6}{-1}=-6\)

Step 1: Identify \(x_1,y_1,x_2,y_2\)

Let \((x_1,y_1)=(-6,2)\) and \((x_2,y_2)=(0,1)\)

Step 2: Apply the slope formula

\(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1 - 2}{0-(-6)}=\frac{-1}{6}=-\frac{1}{6}\)

Step 1: Identify \(x_1,y_1,x_2,y_2\)

Let \((x_1,y_1)=(-5,-3)\) and \((x_2,y_2)=(7,0)\)

Step 2: Apply the slope formula

\(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-(-3)}{7-(-5)}=\frac{0 + 3}{7 + 5}=\frac{3}{12}=\frac{1}{4}\)

Answer:

\(-6\)

Question 16: Points \((-6,2)\) and \((0,1)\)