Answer:
m - 8/3
Step-by-step explanation:
Find the slope of the line between (-3,1) and (6,7) using m = (y2 - y1) / (x2-x1)
which is the change of "y" over the change of "x"
m = (7 - (-1) / 6 - (3)
m = 8/3
Answer: -3 and 3
Step-by-step explanation: You first find the area of OBA which is 6, then you plot points that make a triangle that is congurent to 6. I fond that since there was a length of 4 in both, I simply went up three on the y-axis and down three on the y-axis. Sorry for the bad explanation but this is all I knew.
For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:
Where,
We choose an ordered pair:
Substituting values:
Rewriting:
Thus, the function f (x) is:
On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)
Step-by-step explanation:
If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.
(x, y) — (x + 2, -y)
D (1, 6) — D’ (3, -6)
E (2, 2) — E’ (4, -2)
F (3, 5) — F’ (5, -5)