Question

What is the slope of the line passing through the points (-1, – 7) and (-9, - 2)?

Answer 1

SLOPE

`\color{darkblue}\mathbb{QUESTION:}`

» What is the slope of the line passing through the points (-1, – 7) and (-9, - 2)?

`\color{brown} \mathbb{ANSWER:}`

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  `\color{hotpink} \bold{(Slope) \: m = - (5)/(8) }`

• 
  `\sf \:As \: a \: decimal: \color{hotpink} \bold{ \: m = - 0.625 }`

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`\color{darkblue} \mathbb{FORMULA:}`

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  `\tt \: \underline{ \boxed{ \tt m = ( y_(2) - y_(1))/(x_(2) - x_(1))}} \\`

`\color{darkblue}\mathbb{GIVEN:}`

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  `x_( 1) = - 1\: \: \: \: \: \: \: y_(1) = - 7 \\ x_(2) = - 9 \: \: \: \: \: \: \: y_(2) = - 2`

`\color{darkblue} \mathbb{SOLUTION:}`

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  `\tt m = ( y_(2) - y_(1))/(x_(2) - x_(1)) \\`

• 
  `\tt m = ( ( - 2) - ( - 7))/(( - 9) - ( - 1)) \\`

• 
  `\tt m = ( \: 5)/( - 8 \: ) \\`

• 
  `\tt m = \underline{ \boxed{ \bold{ - ( 5)/( 8 ) }}} \\`

• 
  `\tt m = \underline{ \boxed{\bold{ - 0.625}}}`

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