sat suite question viewer
A line in the xy-plane has a slope of and passes through the point . Which equation represents this line?
Explanation
Choice D is correct. The equation of a line in the xy-plane can be written as , where represents the slope of the line and represents the y-intercept of the line. It's given that the slope of the line is . It follows that . It's also given that the line passes through the point . It follows that . Substituting for and for in yields . Thus, the equation represents this line.
Choice A is incorrect. This equation represents a line with a slope of and a y-intercept of .
Choice B is incorrect. This equation represents a line with a slope of and a y-intercept of .
Choice C is incorrect. This equation represents a line with a slope of and a y-intercept of .