Answer:
1. The equation would be y = -2x + 9
Step-by-step explanation:
To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that in #1, we have a slope of -2 in the original line, therefore the parallel line will also have a slope of -2. Now we can use this and the given point to find the line using point-slope form.
y - y1 = m(x - x1)
y - 1 = -2(x - 4)
y - 1 = -2x + 8
y = -2x + 9