Question

find the equation of the line that contains the given points.
(1,3) and (2,4).

Answer 1

Slope-intercept form line equation is y = mx + b, where m is slope and b is y-intercept.

Let the points are (x₁, y₁) = (1, 3) and (x₂, y₂) = (2, 4).

Slope (m) = [(y₂ - y₁)/(x₂ -x₁)]

m = [(4 - 3)/(2 - 1))]

⇒ m = 1.

Now, the line equation is y = (1)x + b.

Find the y - intercept by substituting any point in the line equation say (x, y) = (1, 3).

3 = (1)(1) + b

b = 3 - 1

⇒ b = 2.

The line equation in slope - intercept - form is y = x + 2.