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do you know the special properties parallel lines have?
so you know that parallel lines have the same gradients right?
Parallel lines have the same slope of the equation its parallel to. What is the slope in this equation?
You want to simplify the equation and try and write it in gradient point form to make it easier
y=3 is a horizontal line.|dw:1442892124277:dw|
Wait what would the standard form of the equation be?
Two or more lines are said to be parallel when they have the same slope. These lines cannot be the same or equal, which gives them a property of non-intersecting lines.
Recall that a slope is rise/run|dw:1442892165368:dw|
Horizontal lines do not rise but do run. That makes it's slope zero.
Ok so what's the standard form of the equation? How do I set it up??
did you get the equation of the second line?
Use the point slope formula and plug in point b with the slope zero and tell me what you'll get.
Would it be y+1=0?
So, we know that we have a horizontal line y=3, a line that is parallel to it has to be a horizontal line.
maybe we can show the bigger picture