Question

Trace una recta con pendiente 3/2 qué pasa por el punto (-2, 1)

Ask by Mcdonald Schmidt. in Dominican Republic
May 31,2023

Real Tutor Solution

Tutor-Verified Answer

Answer

La ecuación de la recta es: \( y - 1 = \frac{3}{2}(x + 2) \)

Solution

Step 1: Identifica la pendiente \( m = \frac{3}{2} \) y el punto dado \( (-2, 1) \). Step 2: Usa la fórmula de la ecuación de la recta en forma punto-pendiente: \( y - y_1 = m(x - x_1) \). Step 3: Sustituye \( m \), \( x_1 \), y \( y_1 \) en la fórmula: \( y - 1 = \frac{3}{2}(x + 2) \). Step 4: Simplifica la ecuación: \( y - 1 = \frac{3}{2}x + 3 \). Step 5: Aísla \( y \): \( y = \frac{3}{2}x + 4 \).

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