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Answer:
y = 2/5x +32/5
Step-by-step explanation:
The given line is in slope-intercept form.
y = mx + b . . . . . . m is the slope; b is the y-intercept
The value of the slope in the given line is m=2/5. A parallel line will have the same slope. In general, it will have a different y-intercept. That value can be found from the given point.
y = 2/5x + b
6 = 2/5(-1) +b
6 +2/5 = b = 32/5
The equation of the parallel line through (-1, 6) is ...
y = 2/5x +32/5
