Question

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

Answer 1

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

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

Putting the values, we have:

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

`{:\implies \quad \sf m=(-14)/(2+5)}`

`{:\implies \quad \sf m=(-14)/(7)=\boxed{\bf{-2}}}`

Answer 2

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

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

`\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}`

We can use the slope formula :-

`\Large\text{$\displaystyle(y_2-y_1)/(x_2-x_1)$}`

Now , We replace letters with numbers ,

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

On simplification,

`\Large\text{$\displaystyle(-14)/(2+5)$}`

On further simplification ,

`\Large\text{$\displaystyle(-14)/(7)$}`

`\diamond` Finally, We get

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

Good luck with your studies.

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