Question

What function equation is represented by the graph?

Answer 1

Answer:

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 = $\frac{3+1}{3+3}$ = $\frac{4}{6}$ = $\frac{2}{3}$

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

y = $\frac{2}{3}$ x + 1 or

f(x) = $\frac{2}{3}$ x + 1