Maths-
General
Easy

Question

Write an equation of a line that passes through the given line and is perpendicular to the given line.
left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8

hintHint:

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

The correct answer is: y = -4/3x + 3


    • We have to write an equation of a line that passes through the given line and is perpendicular to the given line.
    Step 1 of 1:
    We have to find a line passes through a point (0, 3) and perpendicular to a line 3x - 4y = -8
    Since product of two perpendicular lines is equal to -1.
    So,

    m cross times 3 over 4 equals negative 1

    m equals fraction numerator negative 4 over denominator 3 end fraction
    Therefore the equation of the line will be

    y minus 3 equals fraction numerator negative 4 over denominator 3 end fraction left parenthesis x minus 0 right parenthesis

    y equals fraction numerator negative 4 over denominator 3 end fraction x plus 3

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