what is the slope line perpendicular to the equation 4x+3y=9

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what is the slope line perpendicular to the equation 4x+3y=9

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Verity 1 year 2021-08-21T06:42:14+00:00 1 Answers 14 views 0

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    2021-08-21T06:43:27+00:00

    Answer:

    m=3/4

    Step-by-step explanation:

    first, let’s put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)

    we have the equation 4x+3y=9

    subtract 4x from both sides

    3y=-4x+9

    divide by 3

    y=-4/3x+3

    perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1

    so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1

    (m is the slope value)

    -4/3m=-1

    multiply by -3/4

    m=3/4

    therefore the slope of the perpendicular line is 3/4

    hope this helps!! 🙂

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