What is equation for slope

Step1: I dentify two points on the line. Step2: Select one to be x 1 ,y 1 and the other to be x 2 ,y 2. Step3: Use the slope of the line formula to calculate the slope. Some of the important points to remember to find the slope of the line. They are as follows:. The slope formula can give a positive or negative result. If the slope is a positive value, the line is in a rising state. If the slope is a negative value, the line is descending.

Vertical lines have no slope. Horizontal lines have a zero slope. Parallel lines have equal slopes. Perpendicular lines have negative reciprocal slopes. Solved Examples. Example 1: Find the slope of the line whose coordinates are 2,6 and 5,1? We have,. Example 2: If the slope of a line passing through the points 4, x and 2, -7 is 3, then what is the value of x? We have. We know that,. Practice: Slope from equation. Writing linear equations in all forms.

Practice: Linear equations in any form. Forms of linear equations review. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript - [Instructor] We've got the equation Y plus two is equal to negative two, times X minus three. And, what I wanna do is figure out what is the slope of the line that this equation describes?

And there's a couple of ways that you can approach it. What my brain wants to do is well, I know a few forms where it's easy to pick out the slope. For example, if I can manipulate that equation to be in the form Y is equal to MX plus B, well then I know that this M here, the coefficient on the X term, well that's going to be my slope. And B is going to be my Y intercept, we cover that in many other videos. Another option is to get into point-slope form. So the general framework or the general template for point-slope form is, if I have an equation of the form Y minus Y1 is equal to M times X minus X1, well then I immediately know that the line that this equation describes is going to have a slope of M once again.

And here the Y intercept doesn't jump out at you. Let me make sure you can read this over here. The Y intercept doesn't jump out at you, but you know a point that is on this line. In particular, you know that the point X1, Y1 is going to be on this line. X1, Y1. So let's look at our original example. So it might immediately jump out at you that this is actually in point-slope form.

You might say, well okay, I see I have a minus X1, so X1 would be three, I have my slope here and that answers our question, our slope would be negative two.

Now take the case of a vertical line. Would you say that the graph is increasing, or is it decreasing? In actual fact, a vertical line has no slope. As we cannot divide by zero, the slope cannot be found. Thus, all vertical lines have no slope and this is true for all equations of vertical lines.

A point to take note of is that a vertical line and horizontal line's slope does not mean the same thing. Having a slope of zero does not equal having no slope. Instead, horizontal lines do have a slope, and that is why when you calculate their slope with the slope equation, you'll get a number: zero. If you're stuck on a problem or want to double check your work, feel free to reference this online slope calculator that makes use of the slope equation.

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