Question

Which equation represents the graphed function ?

Y= -2x+3
Y=2x+3
Y=1/2x +3
Y=-1/2x+3

Answer 1

A

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 ) = (1, 1)

m =
`(1-3)/(1-0)` = - 2

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

y = - 2x + 3 → A