A linear function 'f' models a relationship in which the dependent variable decreases 1 units for every 5 units the independent variable decreases. The value of the function at 0 is 3. Identify the slope, y-intercept, and x-intercept.
SLope is defined as rise/run of a graph or function
Dependent variable is usually 'y'
This question tells us that rise = -1 when run =-5 rise /run = -1/-5 = 1/5=slope
The question also gives us a point 0,3
Using the y=mx+b format of a line (m=slope b = y intercept)
y= 1/5x +b Substitute in the point 0,3
3 = 5(0) + b shows b=3
So the equation for the line becomes y = 1/5x+3
The x intercept is when y = 0 then x = -15
The y intecept is obtained when x = 0 y=3 (this one was given in the Q)