Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ? –negative StartFraction 7 Over 3 EndFraction –negative StartFraction 9 Over 7 EndFraction –negative StartFraction 7 Over 9 EndFraction –negative StartFraction 3 Over 7 EndFraction
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Answer:
slope = - [tex]\frac{9}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = G(- 2, 6) and (x₂, y₂ ) = H(5, - 3)
m = [tex]\frac{-3-6}{5+2}[/tex] = [tex]\frac{-9}{7}[/tex] = - [tex]\frac{9}{7}[/tex]
The slope of line is 9/7.
The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it
As, slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
We have, (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (5, - 3)
Now,
m= 6 -(-3) / 5-(-2)
m= 9/7
Hence, the slope is 9/7.
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