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