Question

Write an equation for the line that is parallel to the given line and that passes through the given point.

y = –6x + 2; (–1, 2)

Answer 1

The rule for parallel lines is that their slopes are the same, which means that the slope for the line we are trying to find is -6. To find the y-intercept, we can substitute in the x and y coordinates:
y = -6x + c
2 = (-6 × -2) + c
2 = 12 + c
- 12
-10 = c

So your final answer is y = -6x - 10. I hope this helps!