# Write an equation of the line that passes through the points. (2, 5), (0, 5)

Question
Linear equations and graphs
Write an equation of the line that passes through the points.
(2, 5), (0, 5)

2021-01-17
The equation of a line can be written as
y−y1=m(x−x1)
where (x1,y1) is either point that lies upon that line. Let us find the slope, this will become our m.
m=(y2−y1)/(x2−x1)
Plugging in our two points gets us to:
m=(5−5)/(2−0)  ⟹  m=0
When we have a slope of 0, it indicates that our line is horizontal. Thus the equation of the line can simply be:
y=y0, and in this case both of our points have a y-coordinate of 5. Thus, our equation is:
y=5 ​

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