find the slope of the line joining the two given points 1. (4,-8)and (5,-2)
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find the slope of the line joining the two given points 1. (4,-8)and (5,-2)
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[tex] \: \: \: \: \: \:\: \: \red{ \bigstar \: \underline{\boxed{ \bf\pmb{ \: Solution \: \: is \: \: 6 \: cm \: }}} \: \bigstar}[/tex]
[tex] \: [/tex]
Given :-
To Find :-
Formula Used :-
♣️ Slope formula :
[tex]\bigstar \: \: \boxed{ \bf \pmb{ \: Slope \: = \: \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} } \: } \: \: \bigstar[/tex]
Solution :-
Given that,
[tex]⟶\;[/tex]The given points are (4,-8) and (5,-2)
We know that,
According to the question by using formula we get,
[tex] \displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} } \: [/tex]
[tex] \displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ - 2- ( - 8)}{5- 4} } \: [/tex]
[tex] \displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ - 2 + 8}{1} } \: [/tex]
[tex] \displaystyle \: \sf \: \implies \pmb{ \: Slope \: = \: \frac{ 6}{1} } \: [/tex]
[tex] \displaystyle \: \bf \: \implies \pmb{ \red{\: Slope \: = \: 6}} \: [/tex]
Hence,
[tex] \boxed{ \bf \therefore\pmb{\sf The \: slope \: of \: the \: line \: joining \: the \: two \: given \: points \: is \: 6cm}}[/tex]
[tex] \: [/tex]