Step-by-step explanation:
a. (1,1) and (7,5)
b. (1,1) and (5,7)
c. (2,5) and (-1, 2)
d. (2,5) and (-7,-4)
Slope of the line that passes through the points
The slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
a. (1,1) and (7,5)
;
slope = [tex]\frac{5-1}{7-1}[/tex] = [tex]\frac{4}{6}[/tex]
slope = [tex]\frac{2}{3}[/tex]
b. (1,1) and (5,7)
slope = [tex]\frac{7-1}{5-1}[/tex] = [tex]\frac{6}{4}[/tex]
slope = [tex]\frac{3}{2}[/tex]
c. (2,5) and (-1, 2)
slope = [tex]\frac{2-5}{-1 - 2}[/tex] = [tex]\frac{-3}{-3}[/tex]
slope = 1
d. (2,5) and (-7,-4)
slope = [tex]\frac{-4 - 5}{-7 - 2}[/tex]
slope = [tex]\frac{-9}{-9}[/tex] = 1
