A line has a slope of and passes through the point . Write the equation of the line in slope-intercept form: __________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to write the equation of a line in slope-intercept form given the slope and a point on the line. The key step involves using the given point to solve for the y-intercept.
Key Concept Explanation
The slope-intercept form of a linear function is , where is the slope and is the y-intercept. Given the slope and a point, substitute the point into the equation to solve for .
Step-by-step Solution
1. Substitute the point into the equation :
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