A line has a slope of and passes through the point . Using the slope-intercept form , the y-intercept of the line is _____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the y-intercept of a line given its slope and a point it passes through. The problem requires the student to use the slope-intercept form of the equation of a line and solve for the y-intercept.
Key Concept Explanation
The slope-intercept form of the equation of a line is , where is the slope and is the y-intercept. To find the y-intercept, substitute the given point and the slope into the equation and solve for .
Step-by-step Solution
1. Use the slope-intercept form . Here, .
2. Substitute the point into the equation: .
3. Simplify:
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