Which equation represents the graphed function?

a. y=-2x+3
b. y=2x+3
c. y=1/2x+3
d. y=-1/2x+3

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 )

To calculate m use the slope formula

m =

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1)

m = = - 2

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

y = - 2x + 3 ← equation of line → A

yes yes yes yes yes yes yes yes yes

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: