Step-by-step explanation:
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{y - 0}{x - ( - 1)} = \frac{3 - 0}{1 - ( - 1)} [/tex]
[tex] \frac{y}{x + 1} = \frac{3}{1 + 1} [/tex]
[tex] \frac{y}{x + 1} = \frac{3}{2} [/tex]
[tex]y = \frac{3}{2} (x + 1)[/tex]
[tex]y = \frac{3}{2} x + \frac{3}{2} [/tex]
option B
