sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Hard
In the xy-plane, line has a slope of and an x-intercept of . What is the y-coordinate of the y-intercept of line ?
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Explanation
The correct answer is . A line in the xy-plane can be represented by the equation , where is the slope of the line and is the y-coordinate of the y-intercept. It's given that line has a slope of . Therefore, . It's also given that line has an x-intercept of . Therefore, when , . Substituting for , for , and for in the equation yields , which is equivalent to . Subtracting from both sides of this equation yields . Therefore, the y-coordinate of the y-intercept of line is .