Question

2. Find the slopes of the lines passing through the given points.

(4) L (-2,-3) , M (-6,-8).​

Answer 1

$\huge\frac{5}{4}$

Explanation-

Slope = $\frac{y_2-y_1}{x_2-x_1}$

for some points

$(x_1,y_1 ) and (x_2,y_2)$

Slope = $\frac{- 8 - ( - 3)}{ - 6 - ( - 2)}$

$\implies \frac{ - 8 + 3}{ - 6 + 2}$

$\implies \frac{ - 5}{ - 4}$

$\implies \frac{ \cancel - 5}{ \cancel- 4}$

$\implies \frac{ 5}{ 4}$

Answer 2

$\large\boxed{\textsf{\textbf{\red{Question\::-}}}}$

• Find the slopes of the lines passing through the given points.

L (-2,-3) , M (-6,-8).

$\large\boxed{\textsf{\textbf{\red{Answer \::-}}}}$

$L \: (x_{1},y_{1}) = L ( - 2, - 3) \: and \: M( x_{2},y_{2}) = M ( - 6, - 8)$

Here,

$x_{1} = - 2,x_{2} = - 6 = - 3 = - 8$

slope of line LM

$= (y_{2} - y _{1})/(x_{2} - x_{1})$

$= ( - 8( - 3))/( - 6( - 2)) = ( - 8 + 3)/( - 6 + 2)$

$= - 5/ - 4 = 5/4$

therefore,

the slope of LM = 5/4