As such no one should be confused about the situation with slopes. Dear Jeff, wow, thanks so much for sharing your thoughts so extensively! Well, I think you have provided me with a wonderful idea to teach my students about zero slope and No slope or undefined slope. I have been teaching for more than 20 years, however I didnt think of it. You are right, students feel uncomfortable regarding slope.
I would say, devise a way for negative and positive slope also. Many students answer that particular question on guess rather than thinking…. Call me free of charge to discuss your situation, and we'll see if I can help. Want to connect further? Rebecca Zook on October 11th pm. Rebecca Zook on October 24th pm. Henry Lane on October 25th pm. Online Tutors on March 15th am. Jeff on November 14th pm.
Rebecca Zook on November 28th pm. Here it goes through 5 ,-6 but will also pass through 6 ,-6 , 0 ,-6 , -2 ,-6 and so on. It's equation is just the value of the y-coord that the line goes through. How do you write an equation of a line that has no slope and passes through the point 5,-6? Jim G. May 17, Most of you are probably familiar with associating slope with "rise over run".
Run means how far left or right you move from point to point. On the graph, that would mean a change of x values. Here are some visuals to help you with this definition:. Note that when a line has a positive slope it goes up left to right. Note that when a line has a negative slope it goes down left to right.
Given two points and. Note that we use the letter m to represent slope. Example 1 : Find the slope of the straight line that passes through -5, 2 and 4, This form can be handy if you need to find the slope of a line given the equation.
In this form, the slope is m , which is the number in front of x. In our problem, that would have to be In this form, the y -intercept is b , which is the constant. In our problem, that would be 2. We can get down to business and answer our question of what are the slope and y -intercept. In our problem, that would have to be 2. In our problem, that would be Looking at the graph, you can see that this graph never crosses the y -axis, therefore there is no y -intercept either.
Another way to look at this is the x value has to be 0 when looking for the y -intercept and in this problem x is always 5. So, for all our efforts on this problem, we find that the slope is undefined and the y -intercept does not exist.
Looking at the graph, you can see that this graph crosses the y -axis at 0, So the y-intercept is 0, The slope is 0 and the y -intercept is Note that two lines are parallel if there slopes are equal and they have different y -intercepts. What do you think? The slope of the first equation is 7 and the slope of the second equation is 7. Since the two slopes are equal and their y -intercepts are different, the two lines would have to be parallel.
So what does that mean? Since the two slopes are negative reciprocals of each other, the two lines would be perpendicular to each other. The slope of the first equation is and the slope of the second equation is Since the two slopes are not equal and are not negative reciprocals of each other, then the answer would be neither. At the link you will find the answer as well as any steps that went into finding that answer.
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