Answer:x=-7
Explanation:
To find x such that WX is parallel to YZ, we can utilize the concept of slope. The first step in this process is to find the slope of the line segment WX.
To do this, we can use the formula for calculating the slope between two points, which is given as (y₂ - y₁) / (x₂ - x₁). For WX, with the given points (-4, -1) and (1, 4), the slope is determined by substituting the values into the formula: slope(WX) = (-1 - 4) / (-4 - 1) = -5 / -5 = 1.
Moving on to Step 2, since WX is parallel to YZ, the slope of YZ is also 1. In Step 3, we can utilize the slope-intercept form of a line equation, y = mx + b.
Given that point Y (-4, -4) lies on the line YZ, we can substitute the coordinates of Y into the equation: -4 = 1(-4) + b. Simplifying this equation, we get b = 0.
Now, in Step 4, we can substitute the value of b back into the equation and determine that the equation of YZ is y = x.
Lastly, in Step 5, to find the x-coordinate of Z, we use the fact that Z satisfies the equation y = x and has a y-coordinate of -7.
Therefore, x = -7.(double check my answer)