Step-by-step explanation:
The slope of the line passing through two points is given by,
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
13)
[tex] \frac{(0 - y)}{(0 - 2)} = (\frac{ - 3}{2} )[/tex]
[tex] \frac{ - y}{ - 2} = \frac{ - 3}{2} [/tex]
[tex]y = - 3[/tex]
option D
14)
[tex] \frac{ ( - 3 - y)}{(1 + 5)} = \frac{ - 1}{6} [/tex]
[tex] \frac{ - 3 - y}{6} = \frac{ - 1}{6} [/tex]
[tex] - 3 - y = - 1[/tex]
[tex] - y = - 1 + 3 = 2[/tex]
[tex]y = - 2[/tex]
option C
15)
[tex] \frac{(y - 4)}{( - 5 + 1)} = \frac{1}{4} [/tex]
[tex] \frac{y - 4}{ - 4} = \frac{1}{4} [/tex]
[tex] - y + 4 = 1[/tex]
[tex] - y = 1 - 4 = - 3[/tex]
[tex]y = 3[/tex]
option B
16)
[tex] \frac{(y + 3)}{( - 4 - 3)} = \frac{ - 3}{7} [/tex]
[tex] - (y + 3) = - 3[/tex]
[tex]y = 3 - 3 = 0[/tex]
option C
