Question

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,-8)please help its due in 15 minutes.

Answer 1

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)

4)

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

5)

6)

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