The slope of the line passing through points (x_{1}, y_{1}) and (x_{2}, y_{2}) is found using the formula (y_{2} - y_{1})/(x_{2} - x_{1})
The line passing through points (1, 2) and (x, 5) is perpendicular to a line that has a slope of 1/3 What is the value of x?
A 10
B-2
G-4
DO
We know that the slope of the line passing through (1, 2) and (x, 5) is perpendicular to a line with a slope of 1/3.
The slope of the line passing through (1, 2) and (x, 5) is (5 - 2)/(x - 1).
Since the lines are perpendicular, the product of their slopes must be -1. So, (1/3)(5 - 2)/(x - 1) = -1.
Simplifying, we get (1/3)(3)/(x - 1) = -1, which further simplifies to 1/(x - 1) = -1.
Cross multiplying gives us x - 1 = -1, which means x = 0.
Therefore, the value of x is 0.