Question

Which equation represents the graphed function? (0,3) (1,1)​

Answer 1

y=-2x+3 in slope-intercept form

3 is the y-intercept and -2 is the slope

Answer 2

2x - y + 3 = 0

Explanation:

The formula used to find the equation is:

`y-y_1= ((y_2-y_1))/((x_2-x_1)) (x-x_1)`

Here, (x₁, y₁) = (0, 3)

and (x₂, y₂) = (1, 1)

Putting all values in above formula,

`y-3= ((1-3)/((1-0)) (x-0)`

⇒
`y - 3 =(-2)/(1)x`

⇒ y - 3 = 2x

⇒ 2x - y + 3 = 0

which is the requires equation.