Final answer:
The slope of the given linear function is -2, the y-intercept is -2, and the x-intercept is -1.
Step-by-step explanation:
The slope of a linear function describes how the dependent variable changes in relation to the independent variable. In this student's problem, the dependent variable decreases 4 units for every increase of 2 units in the independent variable. This gives us a slope of -4/2 = -2. The y-intercept is given directly as the value of the function at 0, which is -2. To find the x-intercept, we set the dependent variable (y) to 0 and solve for x. The linear equation in slope-intercept form is y = -2x - 2. Setting y to zero, we get 0 = -2x - 2. Solving for x gives x = -1. Therefore, the x-intercept is -1.