Asked by Thine Mothereth
Write an equation for the line (0,7) and (7,9)
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GPT 3.5
The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the point-slope formula:
y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
Using the points (0,7) and (7,9):
x₁ = 0, y₁ = 7
x₂ = 7, y₂ = 9
Substituting the values into the formula:
y - 7 = (9 - 7) / (7 - 0) (x - 0)
Simplifying:
y - 7 = 2/7x
Thus, the equation of the line passing through (0,7) and (7,9) is y = 2/7x + 7.
y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
Using the points (0,7) and (7,9):
x₁ = 0, y₁ = 7
x₂ = 7, y₂ = 9
Substituting the values into the formula:
y - 7 = (9 - 7) / (7 - 0) (x - 0)
Simplifying:
y - 7 = 2/7x
Thus, the equation of the line passing through (0,7) and (7,9) is y = 2/7x + 7.
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