OG详解-OG9 数学2 Q5

Choice D is correct. The equation of a line in the xy-plane can be written as y = mx+b, where m represents the slope of the line and (0, b) represents the y-intercept of the line. It’s given that the slope of the line is 1​9​. It follows that m =1​9​. It’s also given that the line passes through the point (0, 14). It follows that b = 14.  Substituting 1​9​ for m and 14 for b in y = mx+b yields y = 1​9​ x+14. Thus, the equation y = 1​9​x+14 represents this line.
Choice A is incorrect. This equation represents a line with a slope of -1​9​and a y-intercept of (0, -14). Choice B is incorrect. This equation represents a line with a slope of -1​9​ and a y-intercept of (0, 14). Choice C is incorrect. This equation represents a line with a slope of and a y-intercept of (0, -14).