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What is the equation of the line in point-slope form?

What is the equation of the line in point-slope form?
Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
y - [ ] = [ ](x - [ ])

Answer

The red point on the graph is (0, 4).

The slope of the line (m) can be calculated using two points on the line. Let's use the points (0, 4) and (2, 5):

  1. Slope (m) = (5 - 4) / (2 - 0) = 1/2

Using the point-slope form equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the red point (0, 4):

y - 4 = 1/2(x - 0)

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