The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.


  1. Answer:
    Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:
    y-y₁ = m(x-x₁), where,
    m = (y₂-y₁)/(x₂-x₁) is the slope of the line
    (x₁,y₁) and (x₂,y₂) are the coordinates of the two points
    On the other hand, the slope-intercept form is written as:
    y = mx + b, where,
    m is the slope of the line
    b is the y-intercept
    In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.
    Step-by-step explanation:


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