Question

A function f(x) is graphed on the coordinate plane.


What is the function rule in slope-intercept form?

Answer 1

(0,1) and (2,0)
slope = (1-0)/(0-2) = -1/2 = -0.5
b = 1

equation in slope-intercept form
y = -0.5x + 1

Answer 2

Answer:

$y=-\frac{x}{2} +1$

Step-by-step explanation:

Hello

I think i can help you with this

step 1

find the slope of the line using two point of the graph

let

P1(2,0) and P2(0,1)

slope=m

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\ \\m=\frac{1-0}{0-2} \\m=-\frac{1}{2}$

now we know the slope , it is possible use the slope-point equation to find the function

$y_{2}-y_{1} }=m(x_{2}-x_{1} })\\with\ P1\\y-0 }=-\frac{1}{2} (x-2 })\\y=-\frac{1}{2} (x-2 })\\y=-\frac{x}{2} +1$

Have a fantastic day