Q:

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 helpA 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.

Accepted Solution

A:
Answer:[tex]f(x)=2.5x+1[/tex]Step-by-step explanation:we know thatThe linear function in slope intercept form is equal to[tex]f(x)=mx+b[/tex]wherem is the slopeb 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 mThe 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]