Answer:
( y-b) / m +a = x
Step-by-step explanation:
y−b=m(x−a)
Divide each side by m
(y−b)m=m/m(x−a)
( y-b)/m = x-a
Add a to each side
( y-b) / m +a = x-a+a
( y-b) / m +a = x
Answer: see attachments
<u>Step-by-step explanation:</u>
Use Pythagorean Theorem to find the missing side (x² + y² = h²)
Use the following formulas to find the trig functions:
Y = mx + b where m = slope and b = y intercept
m is given as 4/3 so we can write y = (4/3)x + b
now we find value of b
now the point 0,2/5) is on the line so we plug in these values:-
2/5 = (4/3)*0 + b giving b = 2/5
y = (4/3)x + 2/5
so the answer is b
<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.