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Airida [17]
3 years ago
15

Can someone help please?

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer:

g = 6

Step-by-step explanation:

<em>To find the slope you do:</em>

m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)

  • x1 = 4, y1 = -7
  • x2 = g, y2 = -3
  • m (the slope) = 2

<em>Sub in the values:</em>

2 = (-3 - -7) ÷ (g - 4) - we can simplify this

2 = (4) ÷ (g - 4)

4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:

g = 6

Hope this helps!

Mariulka [41]3 years ago
4 0

Answer:

g = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 7 ) and (x₂, y₂ ) = (g, - 3 )

m = \frac{-3-(-7)}{g-4} = \frac{-3+7}{g-4} = \frac{4}{g-4} , then

\frac{4}{g-4} = 2 ( multiply both sides by g - 4 )

4 = 2(g - 4) ← divide both sides by 2

2 = g - 4 ( add 4 to both sides )

6 = g

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