Question

Find the equation of line passing through (0 -1) and (2 3)

Answer 1

Answer: y - 2x + 1 = 0

Explanation:

Since the equation is a straight line it can be written in the form y = ax + b

Now

a = slope of the line = (y₂ - y₁)/(x₂ - x₁) = (3 - (-1))/(2 - 0) = 4/2 = 2

We can find b by substituting the values of x and y of the former mentioned point

y = ax + b

⇒ -1 = 0a + b

⇒ b = -1

Hence the required equation:

y = 2x - 1

⇒ y - 2x + 1 = 0

Hope it helped