Question

reinforce practice your skills in graphing points and finding distances in the coordinate plane.
a. graph these points: e(-3.7,3), f(2.4,3), g(2.4,-3.5), h(-3.7,-2.1)
b. find the distances between each pair of points listed.
i. e and f
ii. f and g
iii. e and h

Explanation:

Step1: Distance E-F (horizontal line)

Points $E(-3.7,3)$ and $F(2.4,3)$ share the same $y$-value. Subtract $x$-coordinates:
$|2.4 - (-3.7)| = |2.4 + 3.7| = 6.1$

Step2: Distance F-G (vertical line)

Points $F(2.4,3)$ and $G(2.4,-3.5)$ share the same $x$-value. Subtract $y$-coordinates:
$|-3.5 - 3| = |-6.5| = 6.5$

Step3: Distance E-H (vertical line)

Points $E(-3.7,3)$ and $H(-3.7,-2.1)$ share the same $x$-value. Subtract $y$-coordinates:
$|-2.1 - 3| = |-5.1| = 5.1$

Answer:

i. Distance between E and F: $6.1$
ii. Distance between F and G: $6.5$
iii. Distance between E and H: $5.1$