What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?

Solution:

(-1, 2) and (5, 2) are the two points on the line

The equation of a line in two point form can be used.

It is used to determine the equation of a line with two points (x\(_1\), y\(_1\)) and (x\(_2\), y\(_2\)) on it.

y - y\(_1\) = [(y\(_2\) - y\(_1\))/ (x\(_2\) - x\(_1\))] (x - x\(_1\)) …. (1)

Now substitute the values in the above equation

y - 2 = [(2 - 2) / (5 - (-1))] (x - (-1))

By further calculation

y - 2 = (0) (x + 1)

So we get

y - 2 = 0

y = 2

Therefore, the equation of a line in general form is y = 2.

What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?

Summary:

The equation of a line, in general form, that passes through points (-1, 2) and (5, 2) is y = 2.