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

**Solution:**

Given that, (x_{1}, y_{1}) = (−2, 1) and (x_{2}, y_{2}) = (1, 10)

The two-point form of a line passing through these two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is:

(y - y_{1}) = [(y_{2} - y_{1}) (x - x_{1})] / (x_{2} - x_{1})

⇒ (y - y_{1}) (x_{2} - x_{1}) = (y_{2} - y_{1}) (x - x_{1})

Substitute the values of points (x_{1}, y_{1}) and (x_{2}, y_{2})

(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

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