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1. The points A and B have coordinates (3k-4, -2) and (1, k+1) respectively, Where k is a constant. Given that the gradient of AB is - 3/2:

a. show that k=3

b. find an equation of the line through A and B.

c. Find an equation of the perpindicular bisector A and B, leaving your answer in the form ax + by + c = 0. Where a, b and c are integars.

can someone pls help me....
2. (Original post by hancyk)
The points A and B have coordinates (3k-4, -2) and (1, k+1) respectively, Where k is a constant. Given that the gradient of AB is - 3/2:

a. show that k=3

b. find an equation of the line through A and B.

c. Find an equation of the perpindicular bisector A and B, leaving your answer in the form ax + by + c = 0. Where a, b and c are integars.
That's a nice question. Really makes you think.
3. (Original post by hancyk)
The points A and B have coordinates (3k-4, -2) and (1, k+1) respectively, Where k is a constant. Given that the gradient of AB is - 3/2:

a. show that k=3

b. find an equation of the line through A and B.

c. Find an equation of the perpindicular bisector A and B, leaving your answer in the form ax + by + c = 0. Where a, b and c are integars.
Try using the formula for gradient: y2-y1/x2-1 for part a

part b will be self explanatory from part a

c is basically finding the equation of the line that is perpendicular of the line in the question. try using m1m2 = -1 for that part
4. (Original post by Kyber Ninja)
Try using the formula for gradient: y2-y1/x2-1 for part a

part b will be self explanatory from part a

c is basically finding the equation of the line that is perpendicular of the line in the question. try using m1m2 = -1 for that part
i have tried to use the gradient formula for part a and idk what to do after (k+1)+2 / 1-(3k-4)= -3/2 i get that i can multiply both sides by 1-(3k-4) but even after that i'm so lost. can u guide me thought part a only and b and c are easy after that
5. (Original post by Kyber Ninja)
Try using the formula for gradient: y2-y1/x2-1 for part a

part b will be self explanatory from part a

c is basically finding the equation of the line that is perpendicular of the line in the question. try using m1m2 = -1 for that part
thank u for ur guidance and i have finally managed to work out the ANSWER

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