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jolli1 [7]
2 years ago
11

Line k is graphed at right.

Mathematics
1 answer:
saw5 [17]2 years ago
5 0

Answer:

See below ↓↓

Step-by-step explanation:

<u>Equation of line k</u>

  • y = mx + b
  • m = Δy/Δx (ratio of change in y to change in x) = 2/3
  • b = 3 (as y-intercept is [0,3])
  • ⇒ y = 2/3x + 3

<u />

<u>a. parallel line</u>

  • For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
  • ⇒ <u>y = 2/3x + 1</u>

<u></u>

<u>b. perpendicular line</u>

  • For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
  • ⇒ <u>y = -3/2x + 1</u>
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