First, find m, the slope of the line.
(1-3)/(5-1) =
-2/4 =
-1/2
Next, choose either point to write the point slope form. I will show the outcome of both points.
1. Using point (1, 3)
y-y1=m(x-x1)
y-3=(-1/2)(x-1)
————————
y-3=-1/2x+1/2
y=-1/2x+7/2
2. Using point (5,1)
y-y1=m(x-x1)
y-1=-1/2(x-5)
————————
y-1=-1/2x+5/2
y=-1/2x+7/2
The outcome is the same.
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
X=0.75 + 0.25y
i hope this helps
No she can't spend $4.39 for each sandwich because if you divide 20 by 5 your quotient will be 4.
