Question

Please help me with these please.

Answer 1

6. Answer: y = 5x - 11

Explanation:

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:
`\bold{y = (1)/(3)x + 4}`

Explanation:

Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ =
`(1)/(3)`

Next, input the point (x₁, y₁ = 3, 5) and slope (m =
`(1)/(3)` ) into the Point-Slope formula:

y - y₁ = m(x - x₁)

`y - 5=(1)/(3)(x - 3)`

`y - 5 =(1)/(3)x - 1`

`y=(1)/(3)x + 4`