Answer:
[tex]y=4[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
The equation of the line in Standard form is:
[tex]Ax + By =C[/tex]
Where A, B, and C are integers.
We can find the slope of this line with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points K(6, 4) and L(-6, 4), we get:
[tex]m=\frac{4-4}{-6-6}=0[/tex]
Substituting the value of "m" and the coordinates of any point on the line into the equation and solving for "b", you get:
[tex]4=0(6)+b\\b=4[/tex]
Therefore, the equation of this line is:
[tex]y=4[/tex]
