Question

Find the slope of the line that passes through each pair of points 

3d0ee1b51240a998a44f5d0f38334118.docx

Answer 1

a) Here , [tex]x _{1} = 2 \frac{1}{2} = \frac{5}{2} y_{1} = -1 \frac{1}{2} = - \frac{3}{2} x_{2} = - \frac{1}{2} y_{2} = \frac{1}{2} [/tex]
Slope = $\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$ 
         
 ⇒$\frac{ \frac{1}{2}-(- \frac{3}{2)} }{- \frac{1}{2}- \frac{5}{2} }$
         
 ⇒$\frac{ \frac{1}{2}+ \frac{3}{2} }{ \frac{-1-5}{2} }$
         
 ⇒$\frac{ \frac{4}{2} }{ \frac{-6}{2} }$
         
 ⇒$\frac{2}{-3}$
       
  ⇒$\frac{-2}{3}$
b) Here, x1 = 3/4, y1= 1$\frac{1}{4}$ and x2 =-1/2, y2=-1
 Slope= $\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$ 
          ⇒ substitute the values in the above way. you will get the answer as 9/5
 

Answer 2

Answer:

the answer is 1b 2a 3d 4c

Step-by-step explanation: