Question

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

X= type your answer...

Answer 1

To find the value of x so that WX is parallel to YZ, we need to equate the slopes of WX and YZ.

Step-by-step explanation:

To determine the value of x so that WX || YZ, we need to find the slope of WX and YZ and equate them. The formula to find the slope between two points (x1, y1) and (x2, y2) is given as:

m = (y2 - y1) / (x2 - x1)

Using this formula, the slope of WX is:

m(WX) = (-4 - (-2)) / (2 - x)

The slope of YZ is:

m(YZ) = (6 - 2) / (5 - 3)

Now, equating the two slopes gives:

(-4 - (-2)) / (2 - x) = (6 - 2) / (5 - 3)

Simplifying this equation, we get:

(-2) / (2 - x) = 2 / 2

Cross-multiplying, we have:

-2 * 2 = 2 * (2 - x)

Solving for x, we get:

-4 = 4 - 2x

-2 = -2x

x = 1

Therefore, the value of x that makes WX || YZ is x = 1.

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