# What is the slope of a line that passes through the points (-2, 4) and (3, 4)?

Apr 13, 2017

$0$
A line with slope $0$ represents a HORIZONTAL line. i.e. a line parallel to x axis.

#### Explanation:

Slope of a line passing thorough two points;
(x_1, y_1) & (x_2, y_2)
is given by :-
slope $= m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\therefore$ in this case,
$\left({x}_{1} , {y}_{1}\right) = \left(- 2 , 4\right)$
$\left({x}_{2} , {y}_{2}\right) = \left(3 , 4\right)$

$\therefore$ slope
$= \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{4 - 4}{3 - \left(- 2\right)} = \frac{0}{5} = 0$

Hence slope of the line is $0$.

A line with slope $0$ represents a HORIZONTAL line. i.e. a line parallel to x axis.