Question

What is the equation of the line which includes points (0,3) and (4,5)

Answer 1

y =
`(1)/(2)` x + 3

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m =
`(5-3)/(4-0)` =
`(2)/(4)` =
`(1)/(2)`

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

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