Question

question
what is the slope of the line that passes through the points (-7, -2) and (-15, -14)? write your answer in simplest form.
answer attempt 1 out of 2

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Let \((x_1, y_1) = (-7, -2)\) and \((x_2, y_2) = (-15, -14)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m = \frac{-14 - (-2)}{-15 - (-7)} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \(-14 - (-2) = -14 + 2 = -12\).
Simplify the denominator: \(-15 - (-7) = -15 + 7 = -8\).

Step5: Simplify the fraction

Now, \( m = \frac{-12}{-8} \). Simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 4. So, \( \frac{-12 \div 4}{-8 \div 4} = \frac{-3}{-2} = \frac{3}{2} \).

Answer:

\(\frac{3}{2}\)