# What is the equation of the line through points (-2, 5) and (3, 5)?

Mar 25, 2018

The equation of the line is $y = 5$

#### Explanation:

If $A \left({x}_{1} , {y}_{1}\right) \mathmr{and} B \left({x}_{2} , {y}_{2}\right)$,then equation of the line:

color(red)((x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1).

But we have,

$A \left(- 2 , 5\right) \mathmr{and} B \left(3 , 5\right)$

Here, ${y}_{1} = {y}_{2} = 5$

$\implies$The line is horizontal and perpendicular to Y-axe.

So ,the equation of the line is $y = 5$
graph{0x+y=5 [-20, 20, -10, 10]}