Question

1. (5, -8), (-8, 6)
2. (-7, 0), (-2, -4)
3. (-2, 2), (-6, -8)
4. (-3, -1), (-4, 0)
5. (-2, 3), (-1, 7)

Explanation:

Assuming we need 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 for problem 5 first:

Step1: Identify coordinates

For points \((5, -8)\) and \((-8, 6)\), let \((x_1, y_1) = (5, -8)\) and \((x_2, y_2) = (-8, 6)\).

Step2: Apply slope formula

\( m = \frac{6 - (-8)}{-8 - 5} = \frac{6 + 8}{-13} = \frac{14}{-13} = -\frac{14}{13} \)

Now problem 7:

Step3: Identify coordinates

For points \((-7, 0)\) and \((-2, -4)\), let \((x_1, y_1) = (-7, 0)\) and \((x_2, y_2) = (-2, -4)\).

Step4: Apply slope formula

\( m = \frac{-4 - 0}{-2 - (-7)} = \frac{-4}{-2 + 7} = \frac{-4}{5} = -\frac{4}{5} \)

Problem 9:

Step5: Identify coordinates

For points \((-2, 2)\) and \((-6, -8)\), let \((x_1, y_1) = (-2, 2)\) and \((x_2, y_2) = (-6, -8)\).

Step6: Apply slope formula

\( m = \frac{-8 - 2}{-6 - (-2)} = \frac{-10}{-6 + 2} = \frac{-10}{-4} = \frac{5}{2} \)

Problem 11:

Step7: Identify coordinates

For points \((-3, -1)\) and \((-4, 0)\), let \((x_1, y_1) = (-3, -1)\) and \((x_2, y_2) = (-4, 0)\).

Step8: Apply slope formula

\( m = \frac{0 - (-1)}{-4 - (-3)} = \frac{0 + 1}{-4 + 3} = \frac{1}{-1} = -1 \)

Problem 13:

Step9: Identify coordinates

For points \((-2, 3)\) and \((-1, 7)\), let \((x_1, y_1) = (-2, 3)\) and \((x_2, y_2) = (-1, 7)\).

Step10: Apply slope formula

\( m = \frac{7 - 3}{-1 - (-2)} = \frac{4}{-1 + 2} = \frac{4}{1} = 4 \)

Answer:

1. Slope: \(-\frac{14}{13}\)
2. Slope: \(-\frac{4}{5}\)
3. Slope: \(\frac{5}{2}\)
4. Slope: \(-1\)
5. Slope: \(4\)