Question

Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).

Answer 1

y =
`(2)/(3)` 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 ) = (0, 2 ) and (x₂, y₂ ) = (3, 4 )

m =
`(4-2)/(3-0)` =
`(2)/(3)`

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y =
`(2)/(3)` x + 2 ← equation of line