Final answer:
The correct linear function with a y-intercept at -3 is D. y = -2x - 2, determined by the constant term in the slope-intercept form of linear equations. the correct answer is D. y = -2x - 2, which has a y-intercept of -3.
Step-by-step explanation:
The student has asked which linear function has a y-intercept at -3. In the slope-intercept form of a linear equation, y = mx + b, the b represents the y-intercept. Therefore, we are looking for an equation where the constant term is -3.
Among the given options:
A. y = 4x - 2
B. y = -2x + 2
C. y = 2x + 4
D. y = -2x - 2
the correct answer is D. y = -2x - 2, which has a y-intercept of -3.