Question

Slope of the line passing through (3,-4), (-5,2)

Answer 1

`\boxed{\sf Slope( m)=-\cfrac{3}{4}}`

Explanation:

To find the slope between two points we'll use the Slope formula:-

`\boxed{\sf \mathrm{Slope(m)}=(y_2-y_1)/(x_2-x_1)}`

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Given:-

• (3,-4)

• (-5,2)

Where,

`\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}`

`\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}`

`\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}` ← Subtract

`\sf m=-\cfrac{6}{8}`

`\sf m=-\cfrac{3}{4}`

Therefore, the slope of the line is m = - 3/4.

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Hope this helps!

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