SOLUTION: 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 equ

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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