Question Bank / Math / Linear Equations in Two Variables

Linear equations in two variables SAT question

Math · Algebra · Medium · Answer it here, explanation included.

The table shows three values of and their corresponding values of , where is a constant, for the linear relationship between and . What is the slope of the line that represents this relationship in the xy-plane?

ExplanationShow

Choice A is correct. The slope, , of a line in the xy-plane can be found using two points on the line, and , and the slope formula . Based on the given table, the line representing the relationship between and in the xy-plane passes through the points , , and , where is a constant. Substituting two of these points,  and , for  and , respectively, in the slope formula yields , which is equivalent to , or . Therefore, the slope of the line that represents this relationship in the xy-plane is .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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