Answer:
y = 3
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points A(4, 3) and B(-1, 3).
Substitute:
[tex]m=\dfrac{3-3}{-1-4}=\dfrac{0}{-5}=0[/tex]
The slope m = 0, therefore it's a horizontal line.
The equation of a horizontal line:
[tex]y=a[/tex] where a is any real number
The line passes through points A and B, where ordinates are equal 3.
Therefore the equation is
[tex]y=3[/tex]
