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3 years ago

A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

(x, y) ⇒ (x – 3, y + 5)

Step-by-step explanation:

Given the rule T–3, 5(x, y)

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

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Answer:

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Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

<u><em>Verify each case</em></u>

case 1) (5, –4), (–2, 1)

substitute in the formula

$m=\frac{1-(-4)}{-2-5}$

$m=\frac{1+4}{-2-5}$

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case 2) (6, –10), (2, 10)

substitute in the formula

$m=\frac{10-(-10)}{2-6}$

$m=\frac{10+10}{2-6}$

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case 3) (–10, –2), (6, 6)

substitute in the formula

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$m=\frac{6+2}{6+10}$

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substitute in the formula

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