ANSWER

EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:

where (h, k) = vertex
From the line, the vertex of the graph in blue is:

To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:

Therefore, the absolute value function is:
Answer:
12 ??
Step-by-step explanation:
Answer: (Mayadc821 wrote this anwser check theyre account for more)
Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
Answer:
x = 5
Step-by-step explanation:
Maybe you have ...
n(x) = 2x +7
and you want x for n(x) = 17.
17 = 2x +7
10 = 2x . . . . . . subtract 7
5 = x . . . . . . . . divide by 2
Add 3, multiply by 3, and take the positive square root.
3 = (1/3)x²
9 = x²
√9 = 3 = x
The positive solution to the equation is x = 3.