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3 years ago

What is the rule for the reflection?

Mathematics

2 answers:

swat323 years ago

7 0

Answer: C. ry=x(x, y) → (y, x)

Step-by-step explanation:

From the given picture, the coordinates of A = (-2,1), B(3,4) and C(-4,1)

and the coordinates of A' =(1,-2), B'(4,3) and C'(1,-4)

We can see that the x and y coordinates of ΔABC has changed their place in ΔA'B'C'.

Therefore, the rule for the given reflection is in option C.

i.e. ry=x(x, y) → (y, x) .

zloy xaker [14]3 years ago

3 0

The answer is C because if you put
$x = - 2 \\ y = 1 \\$
Find the reflected two points which are:
$x = 1 \\ y = - 2$
They're just flipped equations

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3 years ago

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3 years ago

What is an equation of the line that passes through the points ( 0,-7) and ( 5, -1)

tresset_1 [31]

Answer:

y = 5/6x - 5.167

y = 5/6x - 31/6

Step-by-step explanation:

The equation of a line

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given points

( 0 , -7) ( 5 , -1)

x1 = 0

y1 = -7

x2 = 5

y2 = -1

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m = -1 - (-7) / 5 - 0

m = -1 + 7 / 5

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Step 2: sub any of the two points given into the equation

y = 5/6x + c

( 5 , -1)

x = 5

y = -1

-1 = 5/6(5) + c

-1 = 5*5/6 + c

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c = -1 - 25/6

LCM = 6

c = -6 - 25 / 6

c = -31/6

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Step 3: sub c into the equation

y = 5/6x + c

y = 5/6x - 31/6

y = 5/6x - 5.167

The equation of the line is

y = 5/6x - 5.167

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