What is the easiest way to learn the Slope of Parallel and Perpendicular Lines and Transforming Linear Functions?

Answer #1

For parallel and perpendicular lines you normally would use the y-intercept formula for getting an exact line on the coordinate plane. The formula is y=mx+b, M being the slope and B being the point where line passes the y axis. Parallel lines have to have the same slop, but different y intercept (B). So parallel lines could be Y=3x+5 and Y=3x+6.

Here are some examples of what lines can’t be parallel: Y=3x+5 and Y=3x+5, because the lines land on top of each other. Another example of not parallel lines are Y=3x+7 and Y=4x+8.

Perpendicular lines are somewhat like parallel lines. If you have one line, you can find the perpendicular line to it by using opposite reciprocal of the slope. For example, to get the perpendicular line of Y=3x+5, you would get the opposite sign of the slope in this case 3. SO the opposite reciprocal is -1/3. So the Perpendicular line to Y=3x+5 is Y=-1/3x+5 or any other y intercept as long as it has that slope (-1/3). I don’t really know about transforming linear functions.

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