sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
In the xy-plane, line has a slope of and a y-intercept of . What is the x-coordinate of the x-intercept of line ?
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Explanation
The correct answer is . An equation of a line in the xy-plane can be written in the form , where is the slope of the line and is the y-intercept of the line. It’s given that line has a slope of and a y-intercept of . Therefore, and . Substituting for and for in the equation yields . The x-intercept of a line in the xy-plane is the point where the line intersects the x-axis, which is a point with a y-coordinate of . Substituting for in the equation yields . Adding to both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, the x-coordinate of the x-intercept of line is .