Math

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A line has a slope of 6/7 and a y-intercept of -5. Which of the following is the equation of the line?

7x - 6y = -35
7x - 6y = -5
6x - 7y = 35
6x - 7y = -35

I'm honestly not sure with this, I'm thinking that it's 7x - 6y = -5.. Not sure though.

Also, could you explain how you found your answer? This would help so much..

  • Math -

    y = m x + b

    This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.

    In this case :

    b = 6 / 7

    m = - 5


    y = m x + b

    y = ( 6 / 7 ) x + ( - 5 )

    y = ( 6 / 7 ) x - 5 Multiply both sides by 7

    7 y = 6 x - 35 Subtract 6 x to both sides

    7 y - 6 x = 6 x - 35 - 6x

    7 y - 6 x = - 35 Multiply both sides by - 1

    - 7 y + 6 x = 35

    6 x - 7 y = 35

  • Math -

    Correction:

    In this case :

    m = 6 / 7

    b = - 5

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