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

Question
Linear equations and graphs
asked 2021-01-16
Write an equation of the line that passes through the points.
(2, 5), (0, 5)

Answers (1)

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 ​
0

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