The equation of a line in slope-intercept form is . If the line passes through the point (4, 19), find the value of . The slope is __________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to determine the slope of a linear function given a point on the line and the y-intercept. The problem requires the student to substitute the given point into the slope-intercept form and solve for the slope.
Key Concept Explanation
The slope-intercept form of a linear function is , where is the slope and is the y-intercept. Given a point on the line and the y-intercept , the equation can be used to find by substituting and into the equation and solving for .
Step-by-step Solution
1. Start with the slope-intercept form: .
2. Substitute the point (4, 19) into the equation:
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