Question

Given U(-8,1), V(8,5), W(-4,0),U(−8,1),V(8,5),W(−4,0), and X(4, y).X(4,y). Find yy such that

UV ∥ WX.

Answer 1

Two lines are parallel if their slopes are equal. The slopes of UV and WX can be found using the following formulas:

```

Slope of UV = (5 - 1)/(8 - (-8)) = 4/16 = 1/4

Slope of WX = (y - 0)/(4 - (-4)) = y/8

```

Since UV and WX are parallel, their slopes must be equal. Therefore, we have the following equation:

```

y/8 = 1/4

```

Solving for y, we get y = 2.

Therefore, the value of y such that UV ∥ WX is 2.