When you want a parallel line through a given point (h, k), you can start with the equation you have and do the following:
Here, that looks like
... (y-(-100)) = -2(x-(-100))
... y = -2x -200 -100 . . . . . eliminate parentheses, add -100
... y = -2x -300 . . . . the equation you want.
Answer:
y = - 2x - 100
Step-by-step explanation:
Remark
The line we want is a line parallel to y = - 2x + 3
That means it has the same slope as the given line. The given line has a slope of -2
y = -2x + b is what you have so far. Now you have to use the point to get b
y = - 100
x = - 100
Solve for b
-100 = -2(-100) + b
-100 = 200 + b Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.
- 100 - 200 = b
- 300 = b
Answer
y = - 2x - 100
