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LiRa [457]
2 years ago
9

What is the slope of the line shown below (3 9)(-4 2)

Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )

m = \frac{2-9}{-4-3} = \frac{-7}{-7} = 1

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Which triangle results from a reflection across the line x = 1?
Nataly_w [17]

Answer:

Correct answer is option D.

Step-by-step explanation:

Given that \triangle ABC in the image 1 attached.

If we have a look at the image attached, the coordinates are:

A(1,1)\\B(2,5)\ and\\C(4,1)

<em>To find reflection</em> of a point across any line, the distance of points from the line must be same.

Point A(1,1) lies on the line x = 1, so its reflection A' will be at the same point A'(1,1).

Point C(2,5) is at a distance 1 from x = 1 on right side, so C' will be 1 distance on the left side of x = 1 i.e. 1 will be subtracted from its x coordinate.

i.e. C'(1 - 1, 5)

C'(0, 5)

Point B(4, 1) is at a distance 3 from x = 1 on right side, so B' will be 3 distance on the left side of x = 1 i.e. 3 will be subtracted from its x coordinate.

i.e. B'(1 - 3, 1)

B'(-2, 1)

<em>When we plot the above point A', B' and C', we get the option D as correct.</em>

7 0
3 years ago
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