Eighth Grade
Pre-Algebra - Worksheet with solving equations. Remember, you are always trying to get the variable by itself on one side of the equation. Here are a few examples.
Algebra I - Parallel and Perpendicular Lines Worksheet. Remember, two lines are parallel if they have the SAME slope. Two lines are perpendicular if they have OPPOSITE RECIPROCAL slopes. For the first section, inspect the slopes of each equation. If they are the same, they are parallel. If they are BOTH the opposite AND reciprocal of each other, then the lines are perpendicular. If they are neither of the above, then it is neither! For the second section, you will be graphing a line given the information. If it says to graph a line that passes through a given point that is parallel to another line (they will give you the equation to the other line), then you will first put the given point on your graph. Then, find the slope of the other line by looking at what is in front of the x. DO the slope from the point you graphed. Here is an example: Graph a line that passes through (-2, 3) and is parallel to: y=-3x+4Here is another example.
Graph a line that passes through (-2,5) and is perpendicular to y=-1/2x+7
You would first plot the point (-2,5) and then figure out the slope. Since it has to be perpendicular, you notice that the slope of the other line is -1/2. The opposite of that would be 1/2 and then the reciprocal of 1/2 is 2. So your new line would have a slope of 2. Go up 2 and over one from the point you graphed. That's it!
If it is parallel to the y-axis, then the line will be vertical, just like the y-axis. If it is parallel to the x-axis, then it will be horizontal, just like the x-axis.
If you have any trouble, email me!
See you tomorrow!
Mrs. Swickey