Question

a line passes through (3, 7) and (6, 9). which equation best represents the line? y = 3/2 x 5 y = 2/3 x 5 y = 3x 2 y = 2/3 x 2

Answer 1

Given two points, the equation of the line may be determined by,
                            y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)
Substituting the given values,
                                y - 7 = ((9 - 7) / (6 - 3))(x - 3)
Simplification will yield to an answer of,
                                     y = 2x/3 +5
Thus, the answer is the second choice.