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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

Line GH contains points G2 6 and H5 3 What is the slope of negative StartFraction 7 Over 3 EndFraction negative StartFraction 9 Over 7 EndFraction negative Star class=

Respuesta :

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.

What is slope?

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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