Question

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

Answer 1

Answer:

$f(x)=2.5x+1$

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{1-0}{0+0.4}$

$m=\frac{1}{0.4}=2.5$

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

therefore

$b=1$

substitute the values in the linear equation in slope intercept form

$f(x)=2.5x+1$

Answer 2

Answer:

f(x)=2.5x+1

Step-by-step explanation: