Answer:
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( -2 , -7 )
point B( x₂ , y₂) ≡ ( 5 , 7 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

Or
Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

Substituting the given values in a above equation we get

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Answer:
The only non-zero fixed point is: x = 9/A.
The Step-by-step explanation:
A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:
g(x) = x
x(10 - Ax) = x
10x - Ax² = x
10x - x -Ax² = 0
9x - Ax² = 0
Ax² - 9x = 0
The solutions of this second order equation are:
x = 0 and x = 9/A.
Since we are only asked for the non-zero fixed points, the solution is: 9/A.