Find the slope of the line that passes through each pair of points. 1) A(-3,-2), B(5,4)2) D(-4,5), E(3,5)3) M(6,10), N(6,1)4) W(0,1), Z(3,7)5) R(-7,3), T(-7,-8)6) K(-2,-8), L(10…

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asked Jun 17, 2023 233k views

1 Answer

Solanlly · Answer 1 · 2023-06-23T18:19:36+0000

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:

$\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{where,} \\ (x_1,y_1)=\text{given point} \\ (x_2,y_2)=\text{given point} \end{gathered}$

Now, applying this formula we can find each slope:

1)

$\begin{gathered} m=(4-(-2))/(5-(-3)) \\ m=(6)/(8)=(3)/(4) \end{gathered}$

2)

$m=(5-5)/(3-(-4))=(0)/(7)=0\rightarrow horizontal\text{ line}$

3)

$\begin{gathered} m=(1-10)/(6-6) \\ m=(9)/(0)=\text{undefined }\rightarrow vertical\text{ line} \end{gathered}$

4)

$\begin{gathered} m=(7-1)/(3-0) \\ m=(6)/(3)=2 \end{gathered}$

5)

$\begin{gathered} m=(-8-3)/(-7-(-7)) \\ m=(-11)/(0)=\text{undefined }\rightarrow vertical\text{ line} \end{gathered}$

6)

$\begin{gathered} m=(-8-(-8))/(10-(-2)) \\ m=(0)/(12)=0\rightarrow Horizontal\text{ line} \end{gathered}$