Question

The point P(-2, 1) lies on a line with the slope 1/2. Determine the value of K in point A(6, K), if it also lies on the line. (we're supposed to use the formula: y2 - y1 ÷ x2 - x1)

Answer 1

To determine the value of K in point A(6, K), we can use the formula for finding the slope of a line and substitute the given values into the formula and solve for K.

Step-by-step explanation:

To determine the value of K in point A(6, K), we can use the formula for finding the slope of a line: slope = (y2 - y1) / (x2 - x1).

Given that the slope is 1/2 and a point P(-2, 1) lies on the line, we can substitute the values into the formula and solve for K.

Using (x1, y1) = (-2, 1) and (x2, y2) = (6, K), we have: 1/2 = (K - 1) / (6 - (-2)).

Now, we can solve for K by cross-multiplying and simplifying the equation.