Question

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

Answer 1

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

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We can use the slope formula :-

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

Now , We replace letters with numbers ,

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

On simplification,

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

On further simplification ,

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

$\diamond$ Finally, We get

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

Good luck with your studies.

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Answer 2

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:

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

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

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