Answer: y=2x-10
Step-by-step explanation: Two points are (5,0) and (9,8)
using slope formula (y2-y1)/(x2-x1)
8-0/9-5 = 8/4 = 2
so slope is 2, now we have y=2x+b
to solve for b plug in any point
0=2(5)+b
10+b=0
b=-10
y=2x-10
Answer:
<h2>x = 5, y = -8</h2>
Step-by-step explanation:
![T_{(-2,\ 7)}](https://tex.z-dn.net/?f=T_%7B%28-2%2C%5C%207%29%7D)
<em>T</em> - translation vector
<em>(-2, 7)</em> - coordinates of the vector
![T_{(-2,\ 7)}(x,\ y)=(3,\ -1)\to(x-2,\ y+7)=(3,\ -1)](https://tex.z-dn.net/?f=T_%7B%28-2%2C%5C%207%29%7D%28x%2C%5C%20y%29%3D%283%2C%5C%20-1%29%5Cto%28x-2%2C%5C%20y%2B7%29%3D%283%2C%5C%20-1%29)
Therefore we have the equations:
![(1)\\x-2=3\qquad\text{add 2 to both sides}\\x-2+2=3+2\\x=5\\\\(2)\\y+7=-1\qquad\text{subtract 7 from both sides}\\y+7-7=-1-7\\y=-8](https://tex.z-dn.net/?f=%281%29%5C%5Cx-2%3D3%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5Cx-2%2B2%3D3%2B2%5C%5Cx%3D5%5C%5C%5C%5C%282%29%5C%5Cy%2B7%3D-1%5Cqquad%5Ctext%7Bsubtract%207%20from%20both%20sides%7D%5C%5Cy%2B7-7%3D-1-7%5C%5Cy%3D-8)
Answer:
it might be 26 i did 10^2 plus24^2=676 then the square of 676= 26
Step-by-step explanation:
The distance formula is
simply a variation of the theorem. The method is the same with the Pythagorean
however we are now dealing with 2 sets of points instead of 2 lengths. <span>
In the distance formula, the lengths are derived from the
(x1,y1)->(x2,y2) coordinate points and the formula simplified. We still
square the difference of x’s and difference of y’s to get our two squares then
square root the sum to give our length. While the Pythagorean theorem is
directly the sum of the square of the other two sides.
<span>Nevertheless, both formulas work on the same principle.</span></span>