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)?

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

• $\color{hotpink} \bold{(Slope) \: m = - \frac{5}{8} }$

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

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

• $\tt \: \underline{ \boxed{ \tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}}}}$

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

• $x_{ 1} = - 1\: \: \: \: \: \: \: y_{1} = - 7 \\ x_{2} = - 9 \: \: \: \: \: \: \: y_{2} = - 2$

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

• $\tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}}$

• $\tt m = \frac{ ( - 2) - ( - 7)}{( - 9) - ( - 1)}$

• $\tt m = \frac{ \: 5}{ - 8 \: }$

• $\tt m = \underline{ \boxed{ \bold{ - \frac{ 5}{ 8 } }}}$

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

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