Answer:
Slope = [tex]-\frac{1}{6}[/tex]
M(x,y) = (1 , 8.5)
D = [tex]\sqrt{37}[/tex]
Step-by-step explanation:
(i) Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{8-9}{4+2}[/tex]
=> Slope = [tex]-\frac{1}{6}[/tex]
(ii) Midpoint
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
M(x,y) = [tex](\frac{-2+4}{2} , \frac{9+8}{2} )[/tex]
M(x,y) = (1 , 8.5)
(iii) Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(4+2)^2+(8-9)^2}[/tex]
D = [tex]\sqrt{(6)^2+(-1)^2}[/tex]
D = [tex]\sqrt{36+1}[/tex]
D = [tex]\sqrt{37}[/tex]
