Final answer:
The equation of the linear function with a slope of -2 that passes through the point (4, -5) is 2x + y = 3.
Step-by-step explanation:
- To write the equation of a linear function with a slope of -2 that passes through the point (4, -5), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).
- Here, (x1, y1) = (4, -5) and m = -2. Substituting these values into the equation, we have y - (-5) = -2(x - 4).
- Simplifying this equation gives y + 5 = -2x + 8.
- To get the equation in the standard form, we rearrange the terms to obtain 2x + y = 3.