SOLUTION: A line k passes through the points ​(−5​,−8​) and ​(1,34​). A second line h passes through the points ​(−3​,−27​) and ​(3​,15​). Is line k parallel to

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Question 1203432: A line k passes through the points ​(−5​,−8​) and ​(1,34​). A second line h passes through the points ​(−3​,−27​) and ​(3​,15​). Is line k parallel to line​ h? Why or why​ not?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
How are the slopes for k and for h?

k



h




Both slopes the same. 7
so appear to be parallel.


You should also check to see if the two lines are or are not the same, just to be sure. (quick check the points with http://www.shodor.org/interactivate/activities/OrderedSimplePlot/ indicates not the same line)
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
A line passes through the points ​(​,​) and ​(,​).
Solved by pluggable solver: FIND EQUATION of straight line given 2 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) = (-5, -8) and (x2, y2) = (1, 34).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(7)x + (27)

Your graph:






line h passes through the points ​(​,) and ​(,​)
Solved by pluggable solver: FIND EQUATION of straight line given 2 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) = (-3, -27) and (x2, y2) = (3, 15).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(7)x + (-6)

Your graph:





so, a line is and a line is
as you can see, both lines have , therefore lines are






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