What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3
Answers
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C
The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.
Given,
Points of line is (3, 2) and (-3, 4)
Let
x₁ = 3, y₁ = 2
x₂ = -3, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m = (4 - 2)/(-3 - 3)
m = 2/(-6)
m = -1/3
Hence, the slope of the line is -1/3
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A)
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B)
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The equivalent function of g(f(x)) for the given function is 2x³ - 3.
Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
We have been given that
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and find out g(f(x)) =?
The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.
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The given question is incomplete. Please find attachment of the complete question below.
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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Answers
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Step-by-step explanation: