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Lynna [10]
2 years ago
9

What is the slope of the line through (-5, 13) and (2,-1)

Mathematics
2 answers:
Dafna1 [17]2 years ago
7 0

          \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>What is the slope of the line through (-5, 13) and (2, -1) ?</em>

<em />

<em>   </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

We can use the slope formula :-

\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}

Now , We replace letters with numbers ,

\Large\text{$\displaystyle\frac{-1-13}{2-(-5)}$}

On simplification,

\Large\text{$\displaystyle\frac{-14}{2+5}$}

On further simplification ,

\Large\text{$\displaystyle\frac{-14}{7}$}

\diamond Finally, We get

\longmapsto\sf\underline{\boxed{\tt{slope=-2}}}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

gayaneshka [121]2 years ago
5 0

The slope of the line joining the points (a,b) and (c,d) is given by

  • {\boxed{\bf{Slope(m)=\dfrac{d-b}{c-a}}}}

Putting the values, we have:

{:\implies \quad \sf m=\dfrac{-1-13}{2-(-5)}}

{:\implies \quad \sf m=\dfrac{-14}{2+5}}

{:\implies \quad \sf m=\dfrac{-14}{7}=\boxed{\bf{-2}}}

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