Question

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

What is the function rule in slope-intercept form?



Enter your answer in the box.

f(x)=

please help
A graph of a linear equation on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair negative 0.4 comma 0 end ordered pair and begin order pair 0 comma 1 end ordered pair.

Answer 1

f(x)=2.5x+1

Explanation:

Answer 2

`f(x)=2.5x+1`

Explanation:

we know that

The linear function in slope intercept form is equal to

`f(x)=mx+b`

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

we have the points

(-0.4,0) and (0,1)

Find out the value of m

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(1-0)/(0+0.4)`

`m=(1)/(0.4)=2.5`

The y-intercept is the point (0,1)

therefore

`b=1`

substitute the values in the linear equation in slope intercept form

`f(x)=2.5x+1`