Question

to find the slope of the two points

Answer 1

Answer:

Slope is :-

$\boxed{\bf \; m \; = - \cfrac{7}{5}}$

Step-by-step explanation:

Given two points :-

$\sf \implies(-5,3) , (0,−4)$

To Find :-

The slope of Two points that is given.

Solution :-

$\sf \implies(-5,3) , (0,−4)$

As we know that the formula of Slope is :-

$\sf \implies \boxed{\sf Slope = \cfrac {y_2 - y_1}{x_2 - x_1}}$

Now, Put the values of x and y :-

Where,

${ \sf \: {y_2} = - 4}$

$\sf \: x_2 = 0$

$\sf \: y_1 = 3$

$\sf \: x_1 = - 5$

Put the values on their respective place :-

$\sf \implies \: Slope = \cfrac{ - 4 - 3}{0 - ( - 5)}$

Simplify this Fraction :-

Add -4 and -3 which is on the numerator as we know that "-" and "-" equals to "+":-

$\sf \implies \: Slope = \cfrac{ - 7}{0 - ( - 5)}$

Now Add 0-(-5) on the denominator as we know that "-" and "-" equals to "+":-

$\sf \implies \: Slope = \: \cfrac{ - 7}{ 5}$

Which can be rewritten as,

$\sf \implies \: m = \: - \cfrac{7}{5}$

This fraction can't be cancelled. Hence, the slope of the two points is:-

$\sf \implies \boxed{\sf m = \: - \cfrac{7}{5}}$

Note :- Slope can also be denoted as $m$.

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I hope this helps!