Question

Consider the graph shown.

What is the slope-intercept form of the equation of the line?
Plz help

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