What is the equation of a line that goes through (2,5) and (2,3)?
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Question
What is the equation of a line that goes through (2,5) and (2,3)?
1 Answer

1. User Answers mathnstuff
First, we need to find the slope.
m = [tex] \frac{ x_{2}  x_{1} }{ y_{2}  y_{1} } [/tex]
m = [tex] \frac{2(2)}{35} [/tex]
m = [tex] \frac{4}{2} [/tex]
m = 2
Next, write the standard line equation:
y = mx + b
Now fill in what you know (pick a coordinate point, it does not matter):
5 = 2(2) + b
Simplify to solve for b:
5 = 4 + b
+4 +4
9 = b
Rewrite the equation:
y = 2x + 9