Answer:
y = 5/3x +5
Step-by-step explanation:
The two-point form of the equation of a line is useful here.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5
y = 5/3(x +6) -5
y = 5/3x +5 . . . . slope-intercept form
5x -3y = -15 . . . .standard form
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There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.
