Question

Which equation represents the graphed function?

Answer 1

C

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 =
`(0+3)/(2-0)` =
`(3)/(2)`

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

y =
`(3)/(2)` x - 3 → C