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

t= -1

Explanation:

`\boxed{ slope = (y _(1) - y_2 )/(x_1 - x_2) }`

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

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

`(1)/(7) = ( - 7 + 6)/(t - 6)`

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

cross multiply:

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

t -6= -7

+6 on both sides:

t= -7 +6

t= -1