Question

termites land on the coordinate plane below. the first termite is located at (7, 5) and the second termite is located 5).
) plot points to show the locations of the termites.
) write an expression that gives the distance between (7, 5) and (-3, 5). first choose the correct form, then fill in the blanks choosing only from the numbers -3, 5, and 7.
) on the graph, 1 unit represents 1 centimeter. use the answer from part (b) to find the distance between the two termites.
□ centimeters

Explanation:

Step1: Plot points on coordinate plane

For $(-3, 5)$: Move 3 left on x-axis, 5 up on y-axis. For $(7, 5)$: Move 7 right on x-axis, 5 up on y-axis.

Step2: Select distance expression form

Since points share the same y-value, distance is the absolute difference of x-values: $|x_1 - x_2|$, which can be written as $|7| - |-3|$ (using absolute values of the x-coordinates).

Step3: Calculate the distance

Compute the expression: $|7| - |-3| = 7 - 3 = 10$

Answer:

1. (a) Plotted points: $(-3, 5)$ (left blue dot) and $(7, 5)$ (right blue dot)
2. (b) $\boldsymbol{|7| - |-3|}$ (or $\boldsymbol{|-3| - |7|}$; the absolute value makes the order irrelevant for the final distance)
3. (c) $\boldsymbol{10}$ centimeters