Question

Find the slope of the line passing the two given points

(4,-8) and (5,-2) ​

Answer 1

We know that the slope of the line joining two points (x ¹y¹ ) and (x² ,y²) is:

$m = \frac{y^{2} - y {1}^{} }{x { } ^{2} - x { {}^{1} }^{} }$

Here, the given points are (4,−8) and (5,−2), therefore, the slope of the line is:

$m = \frac{y^{2} - y {1}^{} }{x { } ^{2} - x { {}^{1} }^{} } = \frac{ -2-(8)}{5 - 4} = \frac{- 2 + 8}{1} = 6$

Hence, the slope of the line is 6.

Answer 2

Answer:

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$\mathcal\red{♥*♡∞:｡.｡　　KRITIKA}$

Step-by-step explanation:

( 4 , -8 ) and ( 5 , -2 )

let ,

$x_{1} = 4 \\ y_{1} = - 8 \\ \\ x_{2} = 5 \\ y_{2} = - 2$

$\tt\green{Slope \: of \: the \: line \: m}$ =

$| \frac{ y_{2} - y_{1} }{ { x_{2} - x_{1}}} | \\ \\ = > | \frac{ - 2 -( - 8) }{5 - 4} | \\ \\ = > | \frac{( - 2 + 8)}{1} | \\ \\ = = = > \frac{6}{1}$

• m = 6

:. The slope is 6