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Math Help - given that g is a linear function with slope =-4 and g (-2)=2, write the equation tha

  1. #1
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    given that g is a linear function with slope =-4 and g (-2)=2, write the equation tha

    given that g is a linear function with slope =-4 and g (-2)=2, write the equation that defines g.

    need ur help guys...i'm completely lost
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  2. #2
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    Quote Originally Posted by alessandromangione View Post
    given that g is a linear function with slope =-4 and g (-2)=2, write the equation that defines g.

    need ur help guys...i'm completely lost
    point-slope form ...

    y - y_1 = m(x - x_1)

    y - g(-2) = -4[x - (-2)]
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  3. #3
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    why in the last part u put m(x-(-2)) ? isn't x1 2 ?
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    Quote Originally Posted by alessandromangione View Post
    why in the last part u put m(x-(-2)) ? isn't x1 2 ?
    No, g(-2)=2 therefore,

    y - g(-2) = -4[x - (-2)]

    y - 2 = -4[x - (-2)]
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  5. #5
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    Also, any linear function can be written g(x)= mx+ b where "m" is the slope. You are told that m= -4 so g(x)= -4x+ b. Now put x= -2, g(x)= g(-2)= 2 and solve for b.

    g(-2)= 2 means that x= -2, y= 2.
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