Question
Download Solution PDFIf the slope of a line joining the points A (1, x) and B (3, 2) is 8 then find the value of x ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The slope of the line joining the points (x1, y1) and (x2, y2) is given by: \(\rm m = \frac{{{y_2}\; - \;{y_1}}}{{{x_2} - {x_1}}}\)
Calculation:
Given: The slope of a line joining the points A (1, x) and B (3, 2) is 8
As we know, The slope of the line joining the points (x1, y1) and (x2, y2) is given by: \(\rm m = \frac{{{y_2}\; - \;{y_1}}}{{{x_2} - {x_1}}}\)
⇒ 8 = \(\rm \frac{{{2}\; - \;{x}}}{{{3} - {1}}}\)
⇒ 8 × 2 = 2 - x
⇒ 16 = 2 - x
∴ x = -14
Last updated on Jul 1, 2025
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