was able to get the Line equation for Q but how do unable to go any further. any help would be appreciated.

hi

P: y=3x+7

Q is parallel to P so has the same gradient of 3, and passes by point (0;2)

so Q: y=3X+2

R is perpendicular to P so the gradient P * gradient R = -1

3 * gradient R = -1

gradient R = -1/3

We know it intersects P on the y axis, so it passes by the point (0;7)

R: y=-1/3x+7

intersect when P=Q

3x+2=-1/3x+7

10x=15

x=15/10 = 2/2 + 1/2 = 1 + 1/2 option B)

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