Question

This is grid shows the location of three points.Enter the distance, in units, between point. A and point C.

Answer 1

The first step is to find the coordinates of point A and point C. From the graph,

Coordinate of point A = (- 4, 1)

Coordinate of point C = (2, 1)

To determine the distance, AC, we would apply the formula for determining the distance between two points which is expressed as

`\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ x1\text{ = - 4, y1 = 1} \\ x2\text{ = 2, y2 = 1} \\ \text{Distance = }\sqrt[]{(2--4)^2+(1-1)^2} \\ \text{Distance = }\sqrt[]{6^2+0^2}\text{ = }\sqrt[]{36} \\ \text{Distance = 6} \end{gathered}`

The distance between point A and point C is 6 units