Question

What is the slope of the line that passes through the points (2, -3) and (1, -2)? Write your answer in simplest form.

Answer 1

Given:-

• 
  `\textsf{( 2 , -3 ) -- point [ i ]}`

`\:`

• 
  `\textsf{( 1 , -2 ) -- point [ ii ]}`

`\:`

To find:-

• 
  `\textsf{slop of the line = ?}`

`\:`

By using formula:-

`{\color{hotpink}\bigstar} {\boxed{\sf {\green{ slope : m = \: (y_2 - y_1)/(x_2 - x_1) }}}}`

Solution:-

`\sf \: m = (y_2 - y_1)/(x_2 - x_1)`

`\:`

where ,

• 
  `\green \star \underline{ \sf \: 2 = x_1 , -3 = y_1\: }`

`\:`

• 
  `\green \star{ \underline{ \sf{ \:1 = x_2 , -2 = y_2 \: }}}`

`\:`

`\sf \: m = (( -2 ) - ( -3 ) )/(1 - 2)`

`\:`

`\sf \: m = ( - 2 + 3)/( \: 1 - 2)`

`\:`

`\sf \: m = \cancel (1)/( - 1)`

`\:`

`\underline{\boxed{ \sf{ \blue{ \: m = -1 \: }}}}`

`\:`

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hope it helps:)