Question

Indicate in standard form the equation of the line through the given points. K(6, 4), L(-6, 4)

Answer 1

y=4

the values of x changes while the y doesn't so it's y=4

Answer 2

`y=4`

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

The equation of the line in Standard form is:

`Ax + By =C`

Where A, B, and C are integers.

We can find the slope of this line with this formula:

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

Given the points K(6, 4) and L(-6, 4), we get:

`m=(4-4)/(-6-6)=0`

Substituting the value of "m" and the coordinates of any point on the line into the equation and solving for "b", you get:

`4=0(6)+b\\b=4`

Therefore, the equation of this line is:

`y=4`