Question 898266: Find an equation for the line passing through the point (5,9) that is parallel to the line passing through (2,-1) and (-3,7).
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find an equation for the line passing through the point (5,9) that is parallel to the line passing through (2,-1) and (-3,7).
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Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept
For given line:
slope=∆y/∆x of parallel line=(7-(-1))/(-3-2)=(7+1)/(-5)=-8/5
equation:
y=-8x/5+b
solve for b using coordinates of given point (5,9) on the line
9=-8*5/5+b
b=17
equation:
y=-8x/5+17
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