Question

Point A(4,3), point B(-1,3) find the equation

Answer 1

y = 3

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have two points A(4, 3) and B(-1, 3).

Substitute:

`m=(3-3)/(-1-4)=(0)/(-5)=0`

The slope m = 0, therefore it's a horizontal line.

The equation of a horizontal line:

`y=a` where a is any real number

The line passes through points A and B, where ordinates are equal 3.

Therefore the equation is

`y=3`