Question

Two end points are given A(10,2) and B(6,8) calculate slope of line m​

Answer 1

Given:

• Two end points of coordinates are A (10,2) and B (6,8).

To Find:

• Slope of the line.

Formula Used:

• $\sf{Slope \: of \: line = \frac{y_2 - y_1}{x_2 - x_1} }$

Solution:

Here,

• $\sf{x_1 = 10}$

• $\sf{x_2 = 6}$

• $\sf{y_1 = 2}$

• $\sf{y_2 = 8}$

Substituting values,

$\\ \longrightarrow\sf{ \frac{y_2 - y_1}{x_2 - x_1} } \\ \\ \\ \longrightarrow\sf{ \dfrac{8 - 2}{6 - 10}} \\ \\ \\ \longrightarrow\sf{\dfrac{\cancel{6}}{\cancel{-4}}} \\ \\ \\ \longrightarrow\sf{ - \frac{3}{2} }$

Thus,

$\therefore$ The slope of line is -3/2.