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 problem involves using the point-slope form to find 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 , the y-intercept can be found by substituting these values into the equation .
Step-by-step Solution
1. Substitute and the point
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