What is the equation of the line that passes through the points (-2, 1) and (1, 10)?

Solution:

Given that, (x₁, y₁) = (−2, 1) and (x₂, y₂) = (1, 10)

The two-point form of a line passing through these two points (x₁, y₁) and (x₂, y₂) is:

(y - y₁) = [(y₂ - y₁) (x - x₁)] / (x₂ - x₁)

⇒ (y - y₁) (x₂ - x₁) = (y₂ - y₁) (x - x₁)

Substitute the values of points (x₁, y₁) and (x₂, y₂)

(y - 1) (1 - {-2}) = (10 - 1) (x - {-2})

(y - 1) (3) = (9) (x + 2)

3y - 3 = 9x + 18

3y = 9x + 21

y = 3x + 7

Hence, The Equation of the Line that Passes through the Points (-2, 1) and (1, 10) is y = 3x + 7

What is the equation of the line that passes through the points (-2, 1) and (1, 10)?

Summary:

The equation of the line that passes through the points (-2, 1) and (1, 10) is y = 3x + 7