Coordinate Plane Problems Practice

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Question
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A coordinate grid shows the x-axis ranging from negative 10 to 10 and the y-axis also ranging from negative 10 to 10. Points A, B, C, D, and E are plotted. Point B is plotted at left parenthesis 7 comma 3 right parenthesis. Point E is plotted at left parenthesis 7 comma 10 right parenthesis. Point C is plotted at left parenthesis negative 8 comma 3 right parenthesis. Point D is plotted at left parenthesis negative 8 comma negative 3 right parenthesis, and point A is plotted at left parenthesis negative 8 comma negative 10 right parenthesis.

Jing is training for a marathon. This morning, he ran from point E to B. What is the total distance Jing ran?

(1 point)

To find the total distance Jing ran from point E to B, we need to calculate the length of the line segment connecting these two points on the coordinate grid.

Using the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let (x1, y1) = coordinates of point E = (7, 10)
Let (x2, y2) = coordinates of point B = (7, 3)

Distance = √((7 - 7)^2 + (3 - 10)^2)
Distance = √((0)^2 + (-7)^2)
Distance = √(0 + 49)
Distance = √49
Distance = 7

Therefore, the total distance Jing ran from point E to B is 7 units.