What function equation is represented by the graph?

f(x)=2/3x+1
f(x)=3/2x+1
f(x)=2/3x−3/2
f(x)=−2/3x+1

A

Step-by-step 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 ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = = =

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = x + 1 or

f(x) = x + 1