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6. Answer: y = 5x - 11
<u>Step-by-step explanation:</u>
Parallel means "same slope". y = 5x - 2 is in the form y = mx + b,
so the slope (m) = 5
Next, input the point (x₁, y₁ = 2, -1) and slope (m = 5) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
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7. Answer:
<u>Step-by-step explanation:</u>
Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ =
Next, input the point (x₁, y₁ = 3, 5) and slope (m = ) into the Point-Slope formula:
y - y₁ = m(x - x₁)
The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
<h3>What is the vector component form?</h3>The component form of a vector is known to be depicted as < x, y >.
Note that:
x - tells the distance or how far to the right or left, a vector is known or seen to be going.
y - tells the distance or how far to the upper part or downward a vector is known or seen to be going.
From the question and looking at the image attached, we were able to obtain (-4,4) and (2, 0)
So:
⇒ (-4,4) --------(-4+6)(4-4)-------(2,0)
⇒ (6,-4)
Hence, The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
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