Question

b. (-10, 2) and (2, 10)

Explanation:

Assuming the problem is to find the slope between the points \((-10, 2)\) and \((2, 10)\), 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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Here, \(x_1=-10\), \(y_1 = 2\), \(x_2=2\), \(y_2 = 10\).

Step2: Substitute the values into the formula

Substitute the values into the slope formula: \(m=\frac{10 - 2}{2-(-10)}\)

Step3: Simplify the numerator and denominator

Simplify the numerator: \(10 - 2=8\)
Simplify the denominator: \(2-(-10)=2 + 10=12\)
So, \(m=\frac{8}{12}\)

Step4: Reduce the fraction

Reduce the fraction \(\frac{8}{12}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
\(\frac{8\div4}{12\div4}=\frac{2}{3}\)

Answer:

The slope between the points \((-10, 2)\) and \((2, 10)\) is \(\frac{2}{3}\)