Answer:
A. y - 1 = -2(x - 4)
Explanation:
Recall that parallel lines have the same slope value.
Thus, the first step is to find the slope of the line given.
✔️Slope of the line that runs through (-3, 3) and (-2, 1):
slope (m) = change in y/change in x
Slope (m) = (1 - 3)/(-2 -(-3)) = -2/1
Slope (m) = -2
The slope (m) of the line that is parallel to the given line would also be -2.
✔️The slope of the line that is parallel to the given line which goes through the point (4, 1) can be written in point-slope form, y - b = m(x - a). Where,
(a, b) = (4, 1)
m = -2
Substitute the values into the equation
The equation of the parallel line would be:
y - 1 = -2(x - 4)
