# Write an equation of a line perpendicular to line cd

### Randolph is trying to find the equation

So line A and line C are parallel. When counting UP, that is a positive number. Different y-intercepts, same slope, so they're increasing at the exact same rate, but they're never going to intersect each other. So parallel lines are lines that have the same slope, and they're different lines, so they never, ever intersect. I don't know if that purple is too dark for you. So the point 0, 1, 2, 3, 4, 5, 6. Compute the slopes and put the calculations into the calculator and see what you get. So this line is going to look something like this. The y-intercept is the point where the graph crosses the y axis. Based on the results 4 and 5, what conclusion can you make about the slopes of perpendicular lines? So that is line B-- and notice, they do intersect, there's definitely not two parallel lines. And then finally, let's look at line C. The students will be able to solve systems of equations using ordered pairs, graphing and substitution. Finding Slopes of Perpendicular Lines Lines that are perpendicular intersect at one point to form right angles, measuring 90 degrees.

What is true? Now, using Algebra Xpresser, graph the above lines.

### Perpendicular line equation

Investigate the slopes above. So we need to look for different lines that have the exact same slope. Learn more about how we are assisting thousands of students each academic year. And then finally, for line C-- I'll do it in purple-- the slope is 2. Determine whether the 2 lines are parallel, perpendicular or neither. If the product of their slopes equals -1, they are perpendicular. I don't know if that purple is too dark for you. And our slope is 2. Finding Slopes of Perpendicular Lines Lines that are perpendicular intersect at one point to form right angles, measuring 90 degrees. We call this "0 slope" We call this "No slope" Notice, here we cannot divide by 0! And I can just do up 2, then we're going to go 2, 4, and you're going to see it's all on the same line, so line A is going to look something like-- do my best to draw it as straight as possible.

So line C and line A have the same slope, but they're different lines, they have different y-intercepts, so they're going to be parallel. So you increase by 1 in the x direction, you're going to go up by 2 in the y direction.

Compute the slope for each line that you have drawn.

## Arthur is trying to find the equation of a perpendicular

Those lines are parallel. And then finally, let's look at line C. Line A-- I can do a better version than that-- line A is going to look like-- well, that's about just as good as what I just drew-- that is line A. Investigate the following diagram: What pairs of segments appear to be parallel? Day 3: Parallel and Perpendicular Lines Explore the following: 1. The slope for line A, m is equal to 2. If the slopes are the same, they are parallel. What is true? And I can just do up 2, then we're going to go 2, 4, and you're going to see it's all on the same line, so line A is going to look something like-- do my best to draw it as straight as possible. Example 1 Example 2 What happens to the slope of lines that are vertical and horizontal? Day 1: Slope of a line Slope of a segment is the ratio of the "rise" or the vertical distance over the "run" or the horizontal distance. So you increase by 1 in the x direction, you're going to go up by 2 in the y direction. Compute the slopes and put the calculations into the calculator and see what you get. The lines are parallel. Write an equation for a line whose slope is 5 and contains the point 3,

What do you get when you multiply these slopes together? We call this "0 slope" We call this "No slope" Notice, here we cannot divide by 0! And its slope is 2. They will meet at one point and be perpendicular to each other.

So parallel lines are lines that have the same slope, and they're different lines, so they never, ever intersect.

Based on the results in 1 and 2, what conclusion can you make about the slope of parallel lines? Sometimes math problems present the coordinates of points along a line, rather than the slope-intercept formula. Since parallel lines have the same slope, lines of a parallelogram can be shown to be parallel.

And lucky for us, all of these lines are in y equals mx plus b or slope-intercept form, so you can really just look at these lines and figure out their slope.

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