P = w/5 - 4x is the answer
The population of brook trout
Short Answer: A
Remark
The second cut is going to have the same slope as the original line. The lines are parallel.
Step One
You need to find the slope. That is the main part of this problem. You can pick any 2 points on the graph to do that.
<em>Point one</em>
(- 11, 10) That point is on the upper left of the line
<em>Point Two</em>
The y intercept is a handy point in this question. It is right on the y axis. Each square counts as 2, so it is at (0,6)
<em>Formula</em>
slope = m = (y2 - y1) / (x2 - x1)
<em>Givens</em>
y2 = 10
y1 = 6
x2 = -12 Each square counts as 2 in the x direction.
x1 = 0
<u>Substitute and solve.</u>
m = (10 - 6) / (-12 - 0)
m = 4/ - 12
m = - 1/3
Step Two
Find the y intercept of the new line using the given point.
So far what we have is
y = (-1/3)x + b
The point used for the second line is (0,-2)
-2 = (-1/3)*0 + b
b = - 2
Answer
The second line is
y = (-1/3)x - 2
Because line QS is outside the circle and only touches it at point S the line is a tangent line
