Question

Slope of the line joining the points (4,-8), (5,-2)I need this answ
er now​

Answer 1

Answer

The required slope is 6

Given

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

To Determine

• The slope of the line joining the given points

Solution

$\sf we \: know \: that \: if \: (x _{1},y_{1}) \: and \: (x_{2},y_{2}) \\ \sf{are \: two \: points \: then \: the \: gradient } \\ \sf of\: line \: joining \: the \: points \: is \: given \: by :$

$\sf \dashrightarrow \dfrac{y_{2} - y_1}{x_2 - x_1}$

Thus , the gradient of the line joining the points (4 , -8) and (5 , -2)

$\longrightarrow \sf\dfrac{ - 2 - ( - 8)}{5 - 4} \\ \\ \longrightarrow \sf\dfrac{ - 2 + 8}{5 - 4} \\ \\ \longrightarrow \sf\dfrac{6}{1} \\ \\ \sf\longrightarrow6$