Question

1. (10, 4), (4, 15) 20. (-3, 6), (2, 6)

Explanation:

It seems you might want to find the slope between each pair of points. Let's solve both problems:

Problem 9: Points \((10, 4)\) and \((4, 15)\)

Step 1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Here, \(x_1 = 10\), \(y_1 = 4\), \(x_2 = 4\), \(y_2 = 15\).

Step 2: Substitute the values into the formula

\(m=\frac{15 - 4}{4 - 10}=\frac{11}{-6}=-\frac{11}{6}\)

Problem 20: Points \((-3, 6)\) and \((2, 6)\)

Step 1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Here, \(x_1=-3\), \(y_1 = 6\), \(x_2 = 2\), \(y_2 = 6\).

Step 2: Substitute the values into the formula

\(m=\frac{6 - 6}{2-(-3)}=\frac{0}{5}=0\)

Answer:

s:

• For problem 9: The slope is \(-\frac{11}{6}\)
• For problem 20: The slope is \(0\)