A line passes through the points and . Write the equation of the line in slope-intercept form: ___________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the equation of a line in slope-intercept form given two points. The problem involves calculating the slope and then using one of the points 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. The slope can be calculated using the formula . Once the slope is known, the y-intercept can be found by substituting the slope and one of the points into the equation .
Step-by-step Solution
1. Calculate the slope :
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