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Question 1116920:  Given the lines 3x-2y-24=0 and 4x+7y=-26 find  
a)the point on the y-axis that is collinear with the point of intersection, P, if the line has a gradient of 2.
 
b)the general equation of a line passing through P and (3,-5) 
 Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! Given the lines 3x-2y-24=0 and 4x+7y=-26 find 
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a)the point on the y-axis that is colinear with the point of intersection, P, if the line has a gradient of 2. 
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Step 1, find the point of intersection of the 2 lines, call it point Q. 
Step 2, find the equation of the line thru point Q with a slope of 2. 
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b)the general equation of a line passing through P and (3,-5) 
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Step 1, find the slope, m. 
Step 2, use y-y1 = m*(x-x1) where (x1,y1) is either point. 
 
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