Question

What is the equation of a line that passes through the points (0, 5) and (4, 8)?​

Answer 1

see explanation

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, 5) and (x₂, y₂ ) = (4, 8)

m =
`(8-5)/(4-0)` =
`(3)/(4)`

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y =
`(3)/(4)` x + 5 ← equation in slope- intercept form