Question

Find the equation of the line that passes through the points (1, 3) and (2, 4)

Answer 1

y = x + 2

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (2, 4 )

m =
`(4-3)/(2-1)` =
`(1)/(1)` = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 3 )

3 = 1 + c ⇒ c = 3 - 1 = 2

y = x + 2 ← equation of line