What is the equation in point-slope form of the line passing through (0, 6) and (1, 3)?

Solution:

Given that, (x₁, y₁) = (0, 6) and (x₂, y₂) = (1, 3)

We need to find the slope first.

Slope(m) = (y₂ - y₁) / (x₂ - x₁)

Substituting the values,

Slope(m) = (3 - 6) / (1 - 0)

Slope(m) = -3/1

Slope(m) = -3

The point-slope formula states (y - y₁) = m(x - x₁)

Substituting the values, we get (y - 6) = -3(x - 0)

Hence, The Equation in Point-Slope Form of the Line Passing through (0, 6) and (1, 3) is y = -3x + 6

What is the equation in point-slope form of the line passing through (0, 6) and (1, 3)?

Summary:

The equation in point-slope form of the line passing through (0, 6) and (1, 3) is y = -3x + 6