Answer:
[tex]f(x)=2.5x+1[/tex]
Step-by-step explanation:
we know that
The linear function in slope intercept form is equal to
[tex]f(x)=mx+b[/tex]
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
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{1-0}{0+0.4}[/tex]
[tex]m=\frac{1}{0.4}=2.5[/tex]
The y-intercept is the point (0,1)
therefore
[tex]b=1[/tex]
substitute the values in the linear equation in slope intercept form
[tex]f(x)=2.5x+1[/tex]
