What is the equation of a line through the points (0, 9) and (3, 0)?

Solution:

The slope of the line can be found using the formula

m = (y₂ - y₁)/ (x₂ - x₁)

The points given are (0, 9) and (3, 0)

m = (0 - 9)/ (3 - 0)

m = -9/3

m = -3

The point slope form of a line is

y - y₁ = m (x - x₁)

Where m is the slope

Substituting the values using the point (0, 9)

y - 9 = -3 (x - 0)

y - 9 = -3x

y = -3x + 9

Therefore, the equation of a line is y = -3x + 9.

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What is the equation of a line through the points (0, 9) and (3, 0)?

Summary:

The equation of a line through the points (0, 9) and (3, 0) is y = -3x + 9.