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Sagot :
Answer:
1) 3/4
2) 0, horizontal line
3)undefined, vertical line
4) 2
5) undefined, vertical line
6) 0, horizontal line
Step by step explanation:
The slope of a line is represented by the following expression:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where,} \\ (x_1,y_1)=\text{given point} \\ (x_2,y_2)=\text{given point} \end{gathered}[/tex]Now, applying this formula we can find each slope:
1)
[tex]\begin{gathered} m=\frac{4-(-2)}{5-(-3)} \\ m=\frac{6}{8}=\frac{3}{4} \end{gathered}[/tex]2)
[tex]m=\frac{5-5}{3-(-4)}=\frac{0}{7}=0\rightarrow horizontal\text{ line}[/tex]3)
[tex]\begin{gathered} m=\frac{1-10}{6-6} \\ m=\frac{9}{0}=\text{undefined }\rightarrow vertical\text{ line} \end{gathered}[/tex]4)
[tex]\begin{gathered} m=\frac{7-1}{3-0} \\ m=\frac{6}{3}=2 \end{gathered}[/tex]5)
[tex]\begin{gathered} m=\frac{-8-3}{-7-(-7)} \\ m=\frac{-11}{0}=\text{undefined }\rightarrow vertical\text{ line} \end{gathered}[/tex]6)
[tex]\begin{gathered} m=\frac{-8-(-8)}{10-(-2)} \\ m=\frac{0}{12}=0\rightarrow Horizontal\text{ line} \end{gathered}[/tex]
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