Answer:
A. y = (-6/5)x +10
Explanation:
The given line has a negative slope (downward to the right). The only equation offered with a negative slope is the one of selection A.
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Complete working
A parallel line will have the same slope. If there are less-obvious choices to select from, you need to know the slope of the given line. That is computed from ...
... slope = (change in y)/(change in x)
The coordinates of two points are given, so we can find the slope as ...
... slope = (-4-2)/(-1-(-6)) = -6/5
There are a number of ways to write the equation of a line, but in slope-intercept form, the slope is the coefficient of x. You will be looking for a choice that has an x-coefficient of -6/5.