Mathematics: The slope of the line joining the points (2, -2) and (k, 4) is -2 , then the value of k is :

bruhStep-by-step explanation:...

The slope of the line joining the points (2, -2)

mikemike59

11.02.2022

Solution:-Given points (2,-2)(k,4)

As we know that

${\boxed{\sf Slope{}_{(m)}=\dfrac{y_2-y_1}{x_2-x_1}}}$

Substitute the values

$\LARGE\longrightarrow\sf -2={\dfrac {4+2}{k-2}}$

$\LARGE\longrightarrow\sf -2={\dfrac {6}{k-2}}$

Use cross multiplication

$\LARGE\longrightarrow\sf 2 (k-2)=6$

$\LARGE\longrightarrow\sf 2k-4=6$

$\LARGE\longrightarrow\sf 2k=6+4$

$\LARGE\longrightarrow\sf 2k=10$

$\LARGE\longrightarrow\sf k={\dfrac {10}{2}}$

$\LARGE\longrightarrow\sf k=5$

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