Question 1003289: Two lines are parallel if Line 1 through (-4, 1) and (-2, -3) and Line 2 through (2, 1)
Answer by MathLover1(20850)   (Show Source):
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given:
Two lines are perpendicular: means their slopes are same to each other
if the slope of line 1 is  , then the slope of line 2 is 
Line 1 through ( , ) and ( , ):
find the slope-intercept form of the equation or  for this line using given points
| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, 1) and (x2, y2) = (-2, -3).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(-2)x + (-7)
Your graph:
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so, your line 1 has equation  , and its slope is 
and slope of the parallel line 2 is
so far the equation of line 2 is 
since given that Line 2 through ( ,) =( , ), use this point to find 
now we have the equation of line 2: 
see them on a graph:
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