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Algebra 1

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Find an equation of the line containing the given pair of points (-1,-6) and (-4,-8). The equation of the line in slope intercept form is y=?

Thank you.

  • Algebra 1 - ,

    This is the most fundamental of questions in the topic of linear functions.
    You must learn and practise how to do this.

    1. find the slope
    slope = (-8+6)/(-4+1) = -2/-3 = 2/3
    2. let the equation be
    y = (2/3)x + b
    3. sub in one of the given points, I will use (-1,-6)
    -6 = (2/3)(-1) + b
    -6 = -2/3 + b
    -16/3 = b
    4. rewrite the equation using the found value of b

    y = (2/3)x - 16/3

    I also suggest testing your equation with the point that was NOT used in finding b

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