Question

find the slope of the line that passes between (-3, -4) and (5, -12)
slope = \frac{y_2 - y_1}{x_2 - x_1}
whats the value of y_2?
5
-12
-4
-3
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Explanation:

Step1: Identify coordinates

Let \((x_1, y_1) = (-3, -4)\) and \((x_2, y_2) = (5, -12)\).

Step2: Apply slope formula

Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substitute values: \(m = \frac{-12 - (-4)}{5 - (-3)}\)

Step3: Simplify numerator and denominator

Numerator: \(-12 + 4 = -8\)
Denominator: \(5 + 3 = 8\)

Step4: Calculate slope

\(m = \frac{-8}{8} = -1\)

Answer:

\(-1\)