A line in the xy -plane has a slope of 1 9 and passes through the point 0 , 14

Question

A line in the xy -plane has a slope of 1 9 and passes through the point 0 , 14 . Which equation represents this line?

Accepted Answer

Choice D is correct. The equation of a line in the xy -plane can be written as y = m x + 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 = m x + 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 1 9 and a y -intercept of 0 , - 14 .

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