Question

What is an equation of the line that passes through the point (8,5) and (-6,5)

Answer 1

y=5

Explanation:

Answer 2

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have two points through which the line passes:

`(x_ {1}, y_ {1}) :( 8,5)\\(x_ {2}, y_ {2}): (- 6,5)`

We found the slope:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-5} {- 6-8} = \frac {0} {- 14} = 0`

The slope is zero.

Thus, the equation is of the form:

`y = b`

We substitute one of the points and find b:

`(x, y) :( 8,5)\\5 = b\\b = 5`

Finally, the equation is:

`y = 5`

Answer:

`y = 5`