Question

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

Answer 1

Answer:

y = 3

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Substitute:

$m=\dfrac{3-3}{-1-4}=\dfrac{0}{-5}=0$

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

$y=3$