Point slope form y- y1 = m(x- x1) coordinates are (2,1) m=2
so the equation becomes y-1= 2(x-2)
Answer:

Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Answer:
No
Step-by-step explanation:
If GH is tangent to circle F, then it forms a right angle with FG. Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.
34² + 256² = 288²
66692 = 82944
The sides are not a Pythagorean triple, so GH is not tangent to the circle.
Step-by-step explanation:
step 1. The perimeter (P) is the length around the triangle.
step 2. P = 6 + 5 + L (the length of the hypotenuse)
step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root
step 4. P = 11 + sqrt(61) = 18.81.