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Home / Now use the point-slope form with point $ (1, 4) $:

Now use the point-slope form with point $ (1, 4) $:

February 22, 2026

Now use the point-slope form with point $ (1, 4) $:

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Question: Find the $ y $-intercept of the line passing through the points $ (1, 4) $ and $ (3, 10) $.
Solution: First, find the slope $ m $ of the line:
m = rac{10 - 4}{3 - 1} = rac{6}{2} = 3
y - 4 = 3(x - 1)
\Rightarrow y = 3x - 3 + 4 = 3x + 1
The $ y $-intercept occurs when $ x = 0 $:

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