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These are a few questions I couldn't do in my book, which are pretty important to know how to do

1. Point, (h,k) lies on line y = x + 1 and is 5 units from point (0, 2), find all values of h and k after making two equations for them.

My attempt was to make (sqrt (0-h)^2 + (2-k)^2)= 5 but didn't get anywhere

2. solved

3. P & Q are points of intersection at y/2 + x/3 = 1 which becomes (0, 2), (3, 0). Gradient of QR is 1/2, where R is point x-coordinate 2a, a>0

The question is find y-coord of R in terms of a but more importantly how do I draw this up to work from?

4. A triangle ABC with A (1,1) B (-1,4) gradient AB, AC and BC are -3m,3m and m, find value for m and coordinates of C and show that AC=2AB

1. Point, (h,k) lies on line y = x + 1 and is 5 units from point (0, 2), find all values of h and k after making two equations for them.

My attempt was to make (sqrt (0-h)^2 + (2-k)^2)= 5 but didn't get anywhere

2. solved

3. P & Q are points of intersection at y/2 + x/3 = 1 which becomes (0, 2), (3, 0). Gradient of QR is 1/2, where R is point x-coordinate 2a, a>0

The question is find y-coord of R in terms of a but more importantly how do I draw this up to work from?

4. A triangle ABC with A (1,1) B (-1,4) gradient AB, AC and BC are -3m,3m and m, find value for m and coordinates of C and show that AC=2AB

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