Answer:
Point-slope form: y-9 = -3(x - 6)
Standard form: y = -3x+27
Step-by-step explanation:
The point-slope form equation is y - y1 = m(x - x1). Because we are trying to find the equation that passes through (6,9), use these values as x1 and y1. In this equation m is the slope and we are also given that the slope is -3. This means that the equation in point-slope form is y-9 = -3(x - 6).
If it is asked for the equation in standard form, some simple moving of terms can accomplish that. Multiply out the -3 and get y-9 = -3x + 18. Add 9 to both sides to get a final answer of y = -3x+27.
