Answer :

Answer:

y = x - 1

Step-by-step explanation:

Equation of the line passing through two points

(x1, y1) = (1,2) and (x2, y2) = (-3 ,-2).

[tex] \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } = \frac{y - y_{1} }{x - x_{1} } [/tex]

[tex] \frac{ - 2 - 2}{ - 3 - 1} = \frac{y - 2}{x - 1} [/tex]

[tex] \frac{ - 4}{ - 4} = \frac{y - 2}{x - 1} [/tex]

[tex] \frac{1}{1} = \frac{y - 2}{x - 1} [/tex]

y - 2 = x - 1

y = x - 1 + 2

y = x - 1

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