sat suite question viewer
What is the equation of the line that passes through the point and is parallel to the graph of in the xy-plane?
Explanation
Choice B is correct. The equation of a line in the xy-plane can be written in slope-intercept form , where is the slope of the line and is its y-intercept. It’s given that the line passes through the point . Therefore, . It’s also given that the line is parallel to the graph of , which means the line has the same slope as the graph of . The slope of the graph of is . Therefore, . Substituting for and for in the equation yields .
Choice A is incorrect. The graph of this equation passes through the point , not , and has a slope of , not .
Choice C is incorrect. The graph of this equation passes through the point , not .
Choice D is incorrect. The graph of this equation passes through the point , not , and has a slope of , not .