Answer:
The slope is 1.
Step-by-step explanation:
Remember:

Let's plug in!

See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Answer:

Step-by-step explanation:
Express as product of prime factors.


The greatest common factor is the product of the least powers of the common factors.
The GCF is

Answer:
a₇₆ = - 134
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then
a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134