Question

Given j(8,−3), k(7,−1),l(1,−1), and m (x,2) find x such that jk ⊥ lm .

Answer 1

To find x such that jk is perpendicular to lm, firstly find the slope of jk and lm, then find the product of their slopes and equate it to -1. Solve the equation to find x.

Step-by-step explanation:

To determine the value of x such that vectors jk and lm are perpendicular to each other, we need to find the slope of jk and lm. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula m = (y2 - y1)/(x2 - x1).

So, for jk, the slope is (-3 -(-1))/(8-7) = -2. For lm, the slope is (-1-2)/(1-x). Since jk and lm are perpendicular, the product of their slopes will be -1. Therefore, -2*(1-x) = -1.

Solving this equation, we get x = 3.