Answer:
-6, -8/7, 7/8, 7.5
Step-by-step explanation:
.................
The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
![2y-4x=12](https://tex.z-dn.net/?f=2y-4x%3D12)
, or
![y=2x+6](https://tex.z-dn.net/?f=y%3D2x%2B6)
in slope-intercept form, a parallel line will be of the form
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form
![y=mx+b, \ x \neq 2](https://tex.z-dn.net/?f=y%3Dmx%2Bb%2C%20%5C%20x%20%5Cneq%202)
.
Quadrant 1
(1,8)
Quadrant 2
(-3,7)
(-6,4)
Quadrant 3
(-2,-2)
(-6,-11)
Quadrant 4
(3,-7)
Answer: Option 4: -2sin(x + pi/2) - 1
Step-by-step explanation:
When this equation is graphed, the y-intercept is -3 which is what the image shows. None of the others have a y-intercept at -3.
Hope this helps!
We can solve this question in the following way. Looking at the graph, we see that F(x) is shifted from one unit to the right, and it is represented by | x - 1|. Then, we can multiply this result by 4 to have the final graph, since the graph is not inverted.
Therefore, the answer to this question is F(x) = 4 * | x - 1 |.
P