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pregunta suponiendo una relación lineal, encuentre el valor faltante en…

Question

pregunta
suponiendo una relación lineal, encuentre el valor faltante en la siguiente tabla.

incógnita12345

Explanation:

Step1: Find slope of linear relation

Calculate the difference between consecutive $y$-values:
$2 - (-3) = 5$, $7 - 2 = 5$, $12 - 7 = 5$. The slope $m = 5$.

Step2: Define linear equation

Use point-slope form with $(x_1,y_1)=(1,-3)$:
$y - (-3) = 5(x - 1)$
Simplify to $y = 5x - 8$

Step3: Calculate missing $y$-value

Substitute $x=5$ into the equation:
$y = 5(5) - 8$

Answer:

17