Question

Which equation represents the graphed function?

Answer 1

Answer:

C

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 ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = $\frac{0+3}{2-0}$ = $\frac{3}{2}$

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

y = $\frac{3}{2}$ x - 3 → C