Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
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)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
Learn more about Slope of Line here:
brainly.com/question/14511992
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