Question

Find the slope of the line containing the points (3,1) and (5,7).
3

Answer 1

• Slope is 3

Explaination :

As we know that slope is denoted by the letter m and is calculated by the formula:

• 
  `\red{\boxed{\sf{Slope (m) \: = \: (y_(2) \: - \: y_(1) )/(x_(2) \: - \: x_(1)) }}} \: \bigstar`

★ We have :

• x₁ = 3
• x₂ = 5
• y₂ = 7
• y₁ = 1

★ Putting the values :

`: \: \longrightarrow \: \sf{Slope (m) \: = \: ( 7 \: - \:1 )/(5\: - \:3 ) } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: (6 )/(5\: - \:3 ) } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: (6 )/(2) } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \cancel(6 )/(2) } \\ \\ : \: \longrightarrow \: \pink{\bf{Slope (m) \: = \: 3 }}`

Additional Information :

★ Centroid of a triangle :-

• 
  `\boxed{ \sf{Centroid \: = \: (x_1 \: + \: x_2 \: + \: x_3)/(3) }} \: \pink\bigstar`

★ Distance Formula :-

• 
  `\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _(2) - x _(1)) {}^(2) \: + \: (y _(2) - y _(1)) {}^(2) }}}} \: \red\bigstar`

★ Midpoint of two points:-

• 
  `\boxed{ \sf{M \: = \: (x_1 \: + \: x_2 )/(2) \: , \: (y_1 \: + \: y_2 )/(2)}} \: \pink\bigstar`