Question

A line that includes the points (6, – 6) and (t, – 7) has a slope of 1/7. What is the value of t?

Answer 1

Answer:

t= -1

Step-by-step explanation:

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

$\frac{1}{7} = \frac{ - 7 - ( - 6)}{t - 6}$

$\frac{1}{7} = \frac{ - 7 + 6}{t - 6}$

$\frac{1}{7} = \frac{ - 1}{t - 6}$

cross multiply:

1(t -6)= 7(-1)

t -6= -7

+6 on both sides:

t= -7 +6

t= -1