Find an explicit rule for the nth term of the sequence. 4, -4, 4, -4,

Step-by-step explanation:

We see that the sequence goes from +4 to -4 to +4 again and so on.

So, the number value remains the same, but the sign changes.

One way to achieve the prediction is to use the sequence position to determine if the sign will be positive or not.

We notice the negative values are in position 2, 4, 6 and so on. So, we could use (-1)^(n-1), that way for the first element, we'll get (-1)^0, which is equal to 1, so positive, for the second element we'll get (-1)^1, which is -1, so negative, and so on.

The rule would then be:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)