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Question
The line passing through (0, 2) and (−3, −1) is parallel to the line passing through (−1, 5) and (4, a). Find a.
Solution
Slope of the line passing through (0, 2) and (−3, −1)
= `(-1 - 2)/(-3 - 0)`
= `(-3)/(-3)`
= 1
Slope of the line passing through (−1, 5) and (4, a)
= `(a - 5)/(4 + 1)`
= `(a - 5)/5`
Since, the lines are parallel.
∴ `1 = (a - 5)/5`
a – 5 = 5
a = 10
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