2 Answers

Kelly Copley · Answer 1 · 2020-04-10T11:26:16+0000

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:

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