For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (1.4, 2.2) and (4.1, 2.4)
b. (3, 9) and (8, 9)
c. (1 1/4, 2) and (1 1/4, 8)

A line is parallel to the [tex]x[/tex] axis if it has a slope equal zero. Then if we compute the slope of the line that joins the points [tex](3,9), (8,9)[/tex] then

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{9-9}{3-8}=\frac{0}{-5}=0[/tex]

This implies that the line which that joins this points is parallel to the x-axis.

Observe that the slopes of the lines corresponding to the other items are nonzero.

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know. a. (1.4, 2.2) and (4.1, 2.4) b. (3, 9) and (8, 9) c. (1 1/4, 2) and (1 1/4, 8)

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For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (1.4, 2.2) and (4.1, 2.4)
b. (3, 9) and (8, 9)
c. (1 1/4, 2) and (1 1/4, 8)