1 You are given that \(\left( x _ { 1 } , y _ { 1 } \right) = ( 0.9,2.3 )\) and \(\left( x _ { 2 } , y _ { 2 } \right) = ( 1.1,2.7 )\).
The values of \(x _ { 1 }\) and \(x _ { 2 }\) have been rounded to \(\mathbf { 1 }\) decimal place.
- Determine the range of possible values of \(x _ { 2 } - x _ { 1 }\).
The values of \(y _ { 1 }\) and \(y _ { 2 }\) have been chopped to \(\mathbf { 1 }\) decimal place.
- Determine the range of possible values of \(y _ { 2 } - y _ { 1 }\).
You are given that \(m = \frac { y _ { 2 } - y _ { 1 } } { x _ { 2 } - x _ { 1 } }\).
- Determine the range of possible values of \(m\).
- Explain why your answer to part (c) is much larger than your answer to part (a) and your answer to part (b).