What is the equation of the line shown below?
1 answer:
Answer:
The equation of line in SLOPE INTERCEPT is y = x -1
Step-by-step explanation:
Here, two points given on the line equation are
A(5,4) and B(-4,-5)
Now The slope of the line AB =
or,
⇒ the slope of AB is m = 1
By SLOPE INTERCEPT FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (5,4) is:
(y - 4) = (1) (x -5)
or, y - 4 = x - 5
⇒ y = x - 5 + 4
Now, SLOPE INTERCEPT FORM of a line equation is y = mx + c
⇒ y = x -1
Hence, the equation of line in SLOPE INTERCEPT is y = x -1
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The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 1/√x
m(x) = x² - 4
Domain of f(x)/m(x):
f(x)/m(x) = (1/√x)/(x² - 4)
f(x)/m(x) = 1/√x(x² - 4)
The denominator cannot be zero:
√x(x² - 4) ≠ 0
x(x - 2)(x+2) ≠ 0
x ≠ 0, 2, -2
and x > 0
Domain of f(x)/m(x) is: (0, ∞) - {0, 2, -2} or
Domain of f(m(x)):
f(m(x)) = 1/√(x² - 4)
x² - 4 > 0
Domain:
Domain of m(f(x)):
= ((1/√x)² - 4)
Domain:
Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
Learn more about the function here:
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