Answer:
Midpoint is ( Average of x’s, Average of y’s )
1 = (x + 7)/2
2 = x + 7, x = - 5
and - 1 = (y + (-4))/2
so - 2 = y - 4 and y = 2
Pt B = (- 5, 2)
Answer:

Step-by-step explanation:
A linear function has the following format:

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.
Rate of change of 3
This means that 
So

A solution at (6, 12).
This means that when x = 6, y = 12. So



The linear function is:

Answer:
Step-by-step explanation:
The equation is y=mx+b.
In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).
To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.
M represents the slope so your answer is:
Y=5x+3
Hope this helps!
Answer:
umm
Step-by-step explanation:
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
- 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)