# Writing the equation of the line through two given points (2, 2) and (3, 4).

The general equation of a straight line can be written as y = mx + c where m is the slope and c is the y-intercept.

## Answer: The equation of a line through the points (2,2) and (3,4) is y - 2x + 2 = 0.

Let us proceed step by step to find the equation of the line.

**Explanation:**

Let us consider the given points (2, 2) and (3, 4).

As we know that the equation of a line passing through the points (x_{1},_{ }y_{1}) and (x_{2}, y_{2}) is given by y - y_{1} = m (x - x_{1}).

Here, m is the slope given by the formula m = (y_{2} - y_{1}) / (x_{2} - x_{1})

Check out Cuemath's Slope Calculator that helps you to calculate the slope.

Hence on substituting the given points in the equation of a line, we get

y - 2 = m (x - 2)

m = (y_{2} - y_{1}) / (x_{2} - x_{1})

m = (4 - 2) / (3 - 2)

m = 2 / 1 = 2

Substituting the value of m in y - 2 = m (x - 2), we get

y - 2 = 2 (x - 2)

y - 2 = 2x - 4

y = 2x - 2

y - 2x + 2 = 0

You can use Cuemath's online Equation of Line calculator to find the equation of line.