If you want to cheat, paste the formula in Wolfram Alpha. However, this one is not that difficult. From the fact that x and y are squared you can infer that this is a circle. The 9 reveals that the radius r^2 is 9, so radius is 3.
The (x-2) tells us that the circle is shifted to the right by 2. Likewise, y+1 shifts it down by one. So the center is at (2,-1). If the equation would be x^2 + y^2 = 9, you'd have a circle exactly on the origin.
Hopefully this helps you break down the equation and pick the right picture!
Answer:
![y = -3x + 6\\](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%206%5C%5C)
Step-by-step explanation:
Find the gradient of the equation
![\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4} = \frac{12}{-4} = -3](https://tex.z-dn.net/?f=%5Cfrac%7BDifference%20in%20y%7D%7BDifference%20in%20x%7D%20%5C%5C%5C%5C%5Cfrac%7B6%20-%20-%206%7D%7B0%20-%204%7D%20%20%3D%20%5Cfrac%7B12%7D%7B-4%7D%20%3D%20-3)
The equation will have the gradient -3x
Use the general equation of a line, and substitute the coordinates in to find the y-intercept.
![y = x + c\\ y = -3x + c\\](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%20c%5C%5C%20y%20%3D%20-3x%20%2B%20c%5C%5C)
(4, -6)
![-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 6](https://tex.z-dn.net/?f=-6%20%3D%20-3%284%29%20%2B%20c%5C%5C%20-6%20%3D%20-12%20%2B%20c%5C%5C%20-6%20%2B%2012%20%3D%20c%5C%5C%20c%20%3D%206)
![6 = -3(0) + c\\ 6 = 0 + c\\ c = 6](https://tex.z-dn.net/?f=6%20%3D%20-3%280%29%20%2B%20c%5C%5C%206%20%3D%200%20%2B%20c%5C%5C%20c%20%3D%206)
(0, 6)
![6 = -3(0) + c\\ 6 = -0 + c\\ c = 6](https://tex.z-dn.net/?f=6%20%3D%20-3%280%29%20%2B%20c%5C%5C%206%20%3D%20-0%20%2B%20c%5C%5C%20c%20%3D%206)
The equation of the line is
![y = -3x + 6\\](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%206%5C%5C)
3. Is alternate interior angles
4. Supplementary angles
5. Exterior angles
6. 76
7. 75
8. 114
9. 130
7.855 mm maybe the answer unless rounded to the tenths place to be 7.9 mm.
Answer:
y=0.5x + 5
Step-by-step explanation:
The points are (0,5) and (-10,0)
to find the slope do
0-5/-10-0 = 5/10 = 1/2 = 0.5
next plug one of the points into point slope formula
y-y1=m(x-x1)
lets use the point (-10,0)
y1=0
x1= -10
m= 0.5
y-0=0.5(x- -10)
y = 0.5(x+10)
distribute the 0.5
y=0.5x+5