SLOPE
[tex] \color{darkblue}\mathbb{QUESTION:}[/tex]
» What is the slope of the line passing through the points (-1, – 7) and (-9, - 2)?
[tex]\color{brown} \mathbb{ANSWER:}[/tex]
- [tex] \color{hotpink} \bold{(Slope) \: m = - \frac{5}{8} }[/tex]
- [tex] \sf \:As \: a \: decimal: \color{hotpink} \bold{ \: m = - 0.625 }[/tex]
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[tex] \color{darkblue} \mathbb{FORMULA:}[/tex]
- [tex] \tt \: \underline{ \boxed{ \tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}}}} \\ [/tex]
[tex] \color{darkblue}\mathbb{GIVEN:}[/tex]
- [tex] x_{ 1} = - 1\: \: \: \: \: \: \: y_{1} = - 7 \\ x_{2} = - 9 \: \: \: \: \: \: \: y_{2} = - 2[/tex]
[tex] \color{darkblue} \mathbb{SOLUTION:}[/tex]
- [tex] \tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\ [/tex]
- [tex] \tt m = \frac{ ( - 2) - ( - 7)}{( - 9) - ( - 1)} \\ [/tex]
- [tex] \tt m = \frac{ \: 5}{ - 8 \: } \\ [/tex]
- [tex] \tt m = \underline{ \boxed{ \bold{ - \frac{ 5}{ 8 } }}} \\ [/tex]
- [tex] \tt m = \underline{ \boxed{\bold{ - 0.625}}}[/tex]
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