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Question
Select the correct option from the given alternatives:
If A is (5, −3) and B is a point on the x-axis such that the slope of line AB is −2 then B ≡
Options
(7, 2)
`(7/2, 0)`
`(0, 7/2)`
`(2/7, 0)`
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Solution
`(7/2, 0)`
Explanation:
Let B(x, 0) be the point on X-axis.
We have A = (5, −3)
slope of AB = −2
∴ `(0-(-3))/("x"-5)` = −2
∴ 3 = −2(x − 5)
∴ 3 = −2x + 10
∴ x = `7/2`
∴ Co-ordinates of point B = `(7/2,0)`
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