Write an equation for the line (0,7) and (7,9)

1 answer

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.