Maths-
General
Easy

Question

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

hintHint:

  • Perpendicular lines are lines that intersect at a right angle.

The correct answer is: y = -1/2x + 6


    • We have been given an equation that represents the north path on a map.
    • We have to find an equation for a path that passes through the point (6, 3) and is perpendicular to the north path.
    Step 1 of 1:
    We have given a line passes through a point (6, 3) and perpendicular to a line y equals 2 x plus 7
    Since product of two perpendicular lines is equal to -1.
    So,

    m cross times 2 equals negative 1

    m equals fraction numerator negative 1 over denominator 2 end fraction
    Therefore the equation of the line will be

    y minus 3 equals fraction numerator negative 1 over denominator 2 end fraction left parenthesis x minus 6 right parenthesis

    y equals fraction numerator negative 1 over denominator 2 end fraction x plus 6

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