For each pair of equations determine if the line intersects the curve, is a tangent to the curve or does not meet the curve. Give the coordinates of any points where the line and curve touch or intersect.

a. y = x² + 12x; y = 9 + 6x

b. y = 2x² + 3x − 4; y = 2x − 6

c. y = 6x² − 12x + 6; y = x

d. y = x² − 8x + 18; y = 2x + 3

e. y = x² + x; 2x + y = 4

f. y = 4x² + 9; y = 12x

g. y = 3 − 2x − x²; y = 9 + 2x

h. y = (3 − 2x)²; y = 2 − 3x