SOLUTION: Which equation represents the line that passes through (1,1) and is parrallel to the line passing through (2,3) and (1,5)

Question 166023: Which equation represents the line that passes through (1,1) and is parrallel to the line passing through (2,3) and (1,5)
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

First we get the slope of line with points (2,3) & (1,5):

, slope
Knowing the slop, we can get the intercept in point (1,1):
, SLOPE- INTERCEPT

so, the eqn of the line:
The line with points (2,3) & (1,5): same slope because parallel, we'll check
VIA POINT SLOPE FORM:

----> , same right?
For the intercept thru pints (2,3):
Via SLOPE INTERCEPT FORM, we pick points (2,3)

----> y intercept. The same value if you pick points (1,5).
Eqn of line: (Green line) parallel to (Red line)
See the graph,
--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)
Thank you,
Jojo

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