Question

find the slope of the line joining the two given points 1. (4,-8)and (5,-2)​

Answer 1

$\: \: \: \: \: \:\: \: \red{ \bigstar \: \underline{\boxed{ \bf\pmb{ \: Solution \: \: is \: \: 6 \: cm \: }}} \: \bigstar}$

$\:$

Given :-

• The given points are (4,-8) and (5,-2)

To Find :-

• What is the slope of the line joining the two given points ?

Formula Used :-

♣️ Slope formula :

$\bigstar \: \: \boxed{ \bf \pmb{ \: Slope \: = \: \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} } \: } \: \: \bigstar$

Solution :-

Given that,

$⟶\;$The given points are (4,-8) and (5,-2)

We know that,

• $\sf \pmb{x_{1}}\;$ = 4
• $\sf \pmb{x_{2}}\;$ = 5
• $\sf \pmb{y_{1}}\;$ = -8
• $\sf \pmb{y_{2}}\;$ = -2

According to the question by using formula we get,

$\displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} } \:$

$\displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ - 2- ( - 8)}{5- 4} } \:$

$\displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ - 2 + 8}{1} } \:$

$\displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ 6}{1} } \:$

$\displaystyle \: \bf \: \implies \pmb{ \red{\: Slope \: = \: 6}} \:$

Hence,

$\boxed{ \bf \therefore\pmb{\sf The \: slope \: of \: the \: line \: joining \: the \: two \: given \: points \: is \: 6cm}}$

$\:$