Table of Contents
- 1 Does it make a difference what two points on a line you choose when finding slope?
- 2 Does it matter which points you use to calculate the slope of the line?
- 3 How do you know which point is x1 and which point is x2?
- 4 Where is x1 and x2 and y1 and y2?
- 5 What happens when the slope of the line is negative?
Does it make a difference what two points on a line you choose when finding slope?
Identify slope from a graph. Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
Does it matter which points you use to calculate the slope of the line?
It does not matter which of the two “slope” formulas you use, nor does it matter which point you pick to be your “first” and which you pick to be your “second”. The only thing that matters is that you subtract your x-values in the same order as you had subtracted your y-values.
Does it matter which point you call x1 y1?
Note: Like with the slope formula, it doesn’t matter which point you call (x1, y1) and which you call (x2, y2). This figure illustrates the distance formula. The distance between two points is also the length of the hypotenuse. You may have noticed that both formulas involve the expressions (x2 – x1) and (y2 – y1).
Why is the slope between any two points on a straight line always the same?
The ratio of rise over run describes the slope of all straight lines. This ratio is constant between any two points along a straight line, which means that the slope of a straight line is constant, too, no matter where it is measured along the line.
How do you know which point is x1 and which point is x2?
Starts here3:01EQUATION FOR SLOPE OF TWO POINTS – YouTubeYouTube
Where is x1 and x2 and y1 and y2?
Starts here3:01Equation of a Line given Two Points – YouTubeYouTube
How do you know which is y1 and y2?
What does x1 and y1 represent?
Starts here5:33y-y1 = m(x – x1) Find the Equation of a Line Using Point-Slope FormYouTube
What happens when the slope of the line is negative?
If the slope is negative, then the rise and the run have to be opposites of each other, one has to be positive and one has to be negative. In other words, you will be going up and to the left OR down and to the right.