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)