Questions: y-3=-1/1 ·(x-2)

y-3=-1/1 ·(x-2)
Transcript text: $y-3=\frac{-1}{1} \cdot(x-2)$
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Solution

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To solve the given linear equation, we need to convert it into the slope-intercept form \( y = mx + b \). This involves simplifying the equation and isolating \( y \).

Paso 1: Reescribir la ecuación

Comenzamos con la ecuación original:

\[ y - 3 = -1 \cdot (x - 2) \]

Paso 2: Simplificar la ecuación

Simplificamos la ecuación:

\[ y - 3 = -x + 2 \]

Paso 3: Aislar \(y\)

Sumamos 3 a ambos lados para aislar \(y\):

\[ y = -x + 2 + 3 \]

Esto se simplifica a:

\[ y = -x + 5 \]

Respuesta Final

La ecuación en forma de pendiente-intersección es:

\[ \boxed{y = -x + 5} \]

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