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

To find the equation of the line that passes through the points (0, 9) and (3, 0), we can start by calculating the slope of the line using the formula:

slope (m) = (y₂ – y₁) / (x₂ – x₁)

Here, (x₁, y₁) = (0, 9) and (x₂, y₂) = (3, 0).

Now substituting these values into the slope formula, we get:

m = (0 – 9) / (3 – 0) = -9 / 3 = -3

Next, we can use the point-slope form of the equation of a line, which is:

y – y₁ = m(x – x₁)

Using point (0, 9) and the slope -3:

y – 9 = -3(x – 0)

Now, simplify this equation:

y – 9 = -3x

Rearranging gives us:

y = -3x + 9

So, the equation of the line that passes through the points (0, 9) and (3, 0) is:

y = -3x + 9