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.

Answer:

Both Samuel and Helena are correct because both forms can be used to find the equation of a line. In slope-intercept form (y = mx + b), you calculate the slope (m) from the two points and then substitute one point to solve for the y-intercept (b). In point-slope form (y - y1 = m(x - x1)), you calculate the slope and substitute it along with one point directly into the formula, which can then be simplified into slope-intercept form.