calc

Find a normal vector for a line which is parallel to 5x-6y-15=0

plz explain in steps

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  1. Find two distinct points on the line
    L : 5x-6y-15=0
    and find the vector joining the two points.

    The two points can be arbitrary, as long as they are distinct. For example, put x=3 and solve for y to get:
    5(3)-6y-15 = 0 => y=0
    So (3,0) is a point on the line.
    put x=6, and solve for y:
    5(6)-6y-15=0 => y=2.5
    So (6,2.5) is another point on the line.

    Can you find the vector between
    (3,0) and (6,2.5) ?

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