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The line passing through (4, 3) and (y, 0) is parallel to the line passing through (1, 2) and (3, 0). Find y.
- A1
- B3
- C5
- D7
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CCommunity
Parallel Lines have equal slopes.
∴ Slope m1 for (1, 2) and (3, 0) is equal to slope m2 of (4, 3) and (y, 0).
⇒ m1 = (y2 – y1)/(x2 – x1)
⇒ m1 = (0 – 2)/(3 – 1) = -2/2 = -1
∴ m1 = -1
Now, m2 = (0 – 3)/(y – 4)
⇒ -1 = -3/(y – 4)
⇒ -y + 4 = -3
∴ y = 7
∴ Slope m1 for (1, 2) and (3, 0) is equal to slope m2 of (4, 3) and (y, 0).
⇒ m1 = (y2 – y1)/(x2 – x1)
⇒ m1 = (0 – 2)/(3 – 1) = -2/2 = -1
∴ m1 = -1
Now, m2 = (0 – 3)/(y – 4)
⇒ -1 = -3/(y – 4)
⇒ -y + 4 = -3
∴ y = 7