Question

question
the coordinates of the point w are (-1,10) and the coordinates of point x are (-1,1). what is the distance, in units, between the point w and point x?

Explanation:

Step1: Identify the formula for distance between two points with same x - coordinate

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have \(x_1 = x_2\), the distance \(d=\vert y_1 - y_2\vert\). Here \(x_1=-1,x_2 = - 1,y_1 = 10,y_2=1\).

Step2: Calculate the distance

Substitute the values into the formula: \(d=\vert10 - 1\vert\).
Since \(10-1 = 9\), and \(\vert9\vert=9\).

Answer:

9