Question

graphs, functions, and sequences
finding distances between points that share a common coordinate given...
find the distance between point ( e ) and point ( f ).
distance:

Explanation:

Step1: Determine the coordinates of points E and F

Assume the coordinates of point E are \((x_E,y_E)\) and of point F are \((x_F,y_F)\). Since they have the same \(y -\)coordinate (they are on a horizontal line), we use the formula for the distance between two points \((x_1,y)\) and \((x_2,y)\) which is \(d=\vert x_1 - x_2\vert\). From the graph, if \(x_E=- 2\) and \(x_F = 2\).

Step2: Calculate the distance

Substitute into the formula \(d=\vert-2 - 2\vert=\vert-4\vert = 4\)

Answer:

\(4\)