Question

1. (3, 0), (-11, -15)

Explanation:

Assuming the problem is to find the slope between the two points \((3, 0)\) and \((-11, -15)\), we use the slope formula.

Step1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(3, 0)\) and \((x_2, y_2)=(-11, -15)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 3\), \(y_1=0\), \(x_2=- 11\) and \(y_2=-15\) into the slope formula:
\(m=\frac{-15 - 0}{-11 - 3}\)

Step3: Simplify the numerator and the denominator

Simplify the numerator: \(-15-0=-15\)
Simplify the denominator: \(-11 - 3=-14\)
So \(m = \frac{-15}{-14}=\frac{15}{14}\)

Answer:

The slope between the points \((3,0)\) and \((-11,-15)\) is \(\frac{15}{14}\)