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.
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)