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).
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)
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
Learn more about Slope of Line here :
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