Remark
The line you want is 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
The line with equation y = -2x + 3 has a slope of -2
The line parallel to line with equation y = -2x + 3 has a slope of -2
This is because parallel lines have the same slope
Taking a point (x,y) along the parallel line passing through (-100,-100)
Slope = change in y-axis divide by change in x-axis
-2 = (y - -100) ÷ (x - -100)
-2(x + 100) = y + 100
y = -2x - 300
