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)
DH
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