Write the equation of a line that goes through the point (1,3) and the point (3,7) Hint: You need to find the slope first! y=3x-1 y=2x+1 y=x+2 y=3x-2

To find the equation of a line that goes through the points \( (1,3) \) and \( (3,7) \), we first need to determine the slope of the line. The formula for the slope between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is: Substituting the given points \( (1,3) \) and \( (3,7) \): Now that we have the slope , we can use the point-slope form of the equation of a line, which is: Using the point \( (1,3) \) and the slope : Expanding this equation: Adding 3 to both sides to solve for : Therefore, the equation of the line is . The correct answer is: