Question

Find the slope of the line that passes through:
(-4, 7) and (-6, - 4)

Answer 1

`\huge{ \bold{ \boxed{ \tt{ (11)/(2) }}}}`

Explanation:

`\text{Let \: the \: points \: be \: A\: and \: B}`

`\text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}`

`\text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}`

`\underline{ \text{Finding \: the \: slope} }:`

`\boxed{ \sf{slope = (y2 - y1)/(x2 - x1) }}`

`↣ \: \sf{slope = ( - 4 - 7)/( - 6 - ( - 4)) }`

`\underline{ \text{Remember}} :`

• 
  `\text{ \: ( + ) * ( + ) = ( + )}`
• 
  `\text{( + ) \: * \: ( - ) = ( - )}`
• 
  `\text{( - ) \: * \: ( - ) = ( + )}`
• 
  `\text{( - ) \: * \: ( + ) = ( - )}`

`\sf{↣ \: slope \: = \: ( - 4 - 7)/( - 6 + 4)}`

`\underline{ \text{Remember}}:`

• The positive integers are always added but posses the positive ( + ) sign.
• The negative integers always added but posses the negative ( - ) sign.
• The negative and positive integers are always subtracted but posses the sign of the bigger integer.

`\sf{↣ \: slope = ( - 11)/( - 2) }`

`\sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }`

`\sf{↣ \: slope \: = (11)/(2) }`

`\text{Hope \: I \: helped!}`

`\text{Best \: regards!}`

~
`\text{TheAnimeGirl}`