The line AB has equation 5x + 3y + 3 = 0 . (a) The line AB is parallel to the line with equation y = mx + 7 . Find the value of m. [2 marks] (b) The line AB intersects the line with equation 3x -2y + 17 = 0 at the point B. Find the coordinates of B.

Rearrange line into standard form.

y=5/3*x +1 

For parallel lines the gradient is the same therefore m = 5/3

Point of intersection is where two lines equal eachother

multiply out to elminate x term

15x + 9y + 9 = 15x - 10y + 85

19y = 76

y = 4

Sub y to find x

5x + 12 +3 = 0

x = -3

b = (-3,4)