sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Easy
Line in the xy-plane has a slope of and passes through the point . Which equation defines line ?
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Explanation
Choice D is correct. A line in the xy-plane with a slope of and a y-intercept of can be defined by an equation in the form . It’s given that line has a slope of and passes through the point . It follows that and . Substituting for and for in the equation yields . Therefore, the equation defines line .
Choice A is incorrect. This equation defines a line that has a slope of , not , and passes through the point , not .
Choice B is incorrect. This equation defines a line that has a slope of , not , and passes through the point , not .
Choice C is incorrect. This equation defines a line that passes through the point , not .