Which equation represents the line that passes through points B and C on the graph?
2 answers:
Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = B(- 4, 2) and (x₂, y₂ ) = C(- 2, - 2)
m = =
= - 2
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 2), then
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = - 2x - 6 ← equation of line through B and C
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Answer:
Part 1) ----->
Part 2) ---->
Part 3) ----> All real numbers
Part 4) ---->
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is
Part 2) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is
Part 3) we have
Applying the distributive property
This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have
we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero
Remember that
(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is