Answer:
t= -1
Step-by-step explanation:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
[tex] \frac{1}{7} = \frac{ - 7 - ( - 6)}{t - 6} [/tex]
[tex] \frac{1}{7} = \frac{ - 7 + 6}{t - 6} [/tex]
[tex] \frac{1}{7} = \frac{ - 1}{t - 6} [/tex]
cross multiply:
1(t -6)= 7(-1)
t -6= -7
+6 on both sides:
t= -7 +6
t= -1
