Find the vertex of the parabola. y = 2 x squared + 8 x + 12

What is an equation of the line that passes through the point (-2,3) and is parallel to the line whose equations is y=3/2x-4? i am stuck between y=3/2x or y=3/2x+6 : (

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

Candy lives in the center of town. her friend darlene lives 28 miles to the east and her friend dana lives 21 miles north. approximately how far do dana and darline live apart ?