Answer:
TheaterMania, basically you are getting more popcorn for $1, thats how did it.
Answer:
Examination of the equation shows (graph):
x = 0, y = .5
Then .5 = c gives us the value of c giving
y = m x + .5 is our equation
Using y = 0, x = -1 gives
o = -1 * m + .5
m = .5
y = .5 x + .5 for the final equation
Check:
At x = 5, y = 3
3 = .5 (5) + .5 = 3
Equation of a tangent line of a curve is:
y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1
f´(x)=

(Derivation)
f´(x0)=

y - 1 = 1/2 ( x - 1 )
y - 1 = 1/2 x - 1/2
y = 1/2 x - 1/2 + 1
y =
Answer:
-1=y
Step-by-step explanation:
The general equation of a line is
y= ax + b
where a is the slope
So a = -7
So y= -7x + b
But it passes through the point (5, -3)
Substitute the coordinates to calculate b:
So -3 = -7(5) + b
-3 = -35 + b
b= 35-3
b= 32
So the equation of the line of slope -7 and passing through the point (5, -3) is
y= -7x + 32