A linear function 'f' models a relationship in which the dependent variable decreases 4 units for every 2 units the independent variable increases. The value of the function at 0 is -2. Identify the slope, y-intercept, and x-intercept.

wakkoal72
Feb 28, 2018

#1**+1 **

Letting y be the dependent variable and x the independent variable

The slope is -4/ 2 = -2

Since (0, -2) is on the graph....then the y intercept is -2

To find the x intercept we can use this equation

y = -2x -2 let y = 0

0 = -2x - 2 add 2 to both sides

2 = -2x divide both sides by -2

-1 = x ⇒ the x intercept is (-1, 0)

CPhill
Feb 28, 2018