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

infinite solutions

Step-by-step explanation:

Multiply the second equation by 2

6x + 2y = 10

3x + y = 5

6x+2y = 10

This is identical to the first equation

This means there are infinite solutions