Question

Need help please

What is the equation of the line that is parallel to the given line and passes through the point (12, −2)?

y = –6/5x + 10
y = –6/5 + 12
y = –5/6x – 10
y =5/6x – 12

Answer 1

The line of interest is shifted down 8 units from the given line, so the y-intercept must be -4 -8 = -12. The only choice with that y-intercept is the last one:
y = 5/6x - 12

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This is also the only choice with a positive slope, which is required if the line is to be parallel to the one given.