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Natalija [7]
3 years ago
12

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th

e line through the points rises, fals, is horizontal, or is vertical (6.2) and (75) Select the correct choice below and, if necessary, fill in the answer box within your choice O A The slope is OB. The slope is undefined
Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

The slope is 3 and the line is rising.

Step-by-step explanation:

To find the slope m of a line given two points (x₁, y₁) and (x₂,y₂) we can use the formula:

m = (y₂-y₁) / (x₂ - x₁)

In this problem we have the points (6,2) and (7,5), substituting these values in the formula we get:

m = (5 - 2) / (7 - 6) = 3/1 = 3

Therefore, the slope is 3.

Given that the slope is positive we can conclude that the line through the points rises.

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Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

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→ Divide both sides by 5 to find x

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∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

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→ Add the like terms on the left side

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→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

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→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

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Answer:

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