Question

question
what is the slope of the line that passes through the points (8, 0) and (-4, -8)? write your answer in simplest form.
answer attempt 1 out of 5
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Explanation:

Step1: Recall slope formula

The slope \( m \) of a line passing through 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 \((x_1, y_1)=(8, 0)\) and \((x_2, y_2)=(-4, -8)\).

Step2: Substitute values into formula

Substitute \( x_1 = 8 \), \( y_1 = 0 \), \( x_2=-4 \), and \( y_2 = -8 \) into the slope formula:
\( m=\frac{-8 - 0}{-4 - 8} \)

Step3: Simplify numerator and denominator

Simplify the numerator: \(-8 - 0=-8\)
Simplify the denominator: \(-4 - 8=-12\)
So, \( m=\frac{-8}{-12} \)

Step4: Reduce the fraction

The greatest common divisor of 8 and 12 is 4. Divide both the numerator and the denominator by 4:
\( m=\frac{-8\div(-4)}{-12\div(-4)}=\frac{2}{3} \)

Answer:

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