A linear function has a slope of and passes through the point (6, -4). The equation of the line in slope-intercept form is .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to write the equation of a line in slope-intercept form given the slope and a point on the line. The student must use the point-slope form to find the y-intercept and then write the equation.
Key Concept Explanation
The slope-intercept form of a linear function is , where is the slope and is the y-intercept. Given a point and the slope , the equation can be written as by substituting the point and solving for .
Step-by-step Solution
1. Start with the slope-intercept form:
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