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