Question

Given W(x,-2), X(2, -4), Y(3, 2) and Z(5, 6), what would the value of x be so that WXL YZ?

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Answer 1

To find the value of x so that WXL YZ, we need to find the intersection point of the lines passing through W and X, and Y and Z. The value of x is -1.5.

Step-by-step explanation:

To determine the value of x so that WXL YZ, we need to find the equation of the line that passes through W and X, and the equation of the line that passes through Y and Z. Then, we can find the x-coordinate of their intersection point.

The equation of the line passing through two points (x1, y1) and (x2, y2) is given by: y - y1 = (y2 - y1) / (x2 - x1) * (x - x1)

For W and X, the equation of the line is: y + 2 = (-4 - (-2)) / (2 - x) * (x - x)

For Y and Z, the equation of the line is: y - 2 = (6 - 2) / (5 - 3) * (x - 3)

To find the value of x where the lines intersect, we need to solve the equations: (-2) / (2 - x) * (x - x) + 2 = (4/2) / (x - 3) * (x - 3)

By simplifying and solving, we find that x = -1.5.

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