gasillin.blogg.se - Labchart reader finding slope

2National Demonstration Center for Experimental Fisheries Science Education, Shanghai Ocean University, Shanghai, China.

1Key Laboratory of Exploration and Utilization of Aquatic Genetic Resources, Shanghai Ocean University, Ministry of Education, Shanghai, China.

This is true for all vertical lines- they all have a slope that is undefined.Youji Wang 1,2,3,4, Menghong Hu 1,2,3*, Fangli Wu 1,2, Daniela Storch 3 and Hans-Otto Pörtner 3 Because of this fact, it is said that the slope of this vertical line is undefined. So, what happens when you use the slope formula with two points on this vertical line to calculate the slope? Using (2, 1) as Point 1 and (2, 3) as Point 2, you get:īut division by zero has no meaning for the set of real numbers. There is no way that this equation can be put in the slope-point form, as the coefficient of y is 0 ( x = 0 y + 2). How about vertical lines? In their case, no matter which two points you choose, they will always have the same x-coordinate. The equation for the horizontal line y = 3 is telling you that no matter which two points you choose on this line, the y-coordinate will always be 3. Zero divided by any non-zero number is 0, so the slope of any horizontal line is always 0. So, when you apply the slope formula, the numerator will always be 0. No matter which two points you choose on the line, they will always have the same y-coordinate. Using (−3, 3) as Point 1 and (2, 3) as Point 2, you get:

You can also use the slope formula with two points on this horizontal line to calculate the slope of this horizontal line. Using the form y = 0 x + 3, you can see that the slope is 0. The equation can also be written as y = (0) x + 3. Let’s consider a horizontal line on a graph. What is the slope of a flat line or level ground? Of a wall or a vertical line? But there are two other kinds of lines, horizontal and vertical. So far you’ve considered lines that run “uphill” or “downhill.” Their slopes may be steep or gradual, but they are always positive or negative numbers.

Let’s organize the information about the two points:įinding the Slopes of Horizontal and Vertical Lines You can just use the coordinates, keeping careful track of which is Point 1 and which is Point 2. You do not need the graph to find the slope. The run is −2, because you are then moving in a negative direction (left) 2 units. You can see from the graph that the rise going from Point 1 to Point 2 is 4, because you are moving 4 units in a positive direction (up). A triangle is drawn in above the line to help illustrate the rise and run. So you are going to move from Point 1 to Point 2. The point (0, 2) is indicated as Point 1, and (−2, 6) as Point 2. In the example below, you’ll see that the line has two points each indicated as an ordered pair. The run between these two points is the difference in the x-coordinates, or x 2 − x 1. The rise is the vertical distance between the two points, which is the difference between their y-coordinates. Point 1 has coordinates ( x 1, y 1) and Point 2 has coordinates ( x 2, y 2). The y value tells you where the point is vertically.Ĭonsider two points on a line-Point 1 and Point 2. The x value tells you where a point is horizontally. Every point has a set of coordinates: an x-value and a y-value, written as an ordered pair ( x, y). You can also find the slope of a straight line without its graph if you know the coordinates of any two points on that line. You’ve seen that you can find the slope of a line on a graph by measuring the rise and the run. The next example shows a line with a negative slope.įinding the Slope of a Line Given Two Points The greater the slope, the steeper the line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line. When you look at the two lines, you can see that the blue line is steeper than the red line. The slope of the blue line is 4 and the slope of the red line is. Substitute the values for the rise and run into the formula Slope =. The red line, going from point (-1, -2) to point (3, -1) has a rise of 1 unit. Substitute the values for the rise and run in the formula Slope =. Run is 1 unit to the right, so it is positive. This line has a rise of 4 units up, so it is positive. Start with the blue line, going from point (-2, 1) to point (-1, 5). Notice that both of these lines have positive slopes, so you expect your answers to be positive. Use the graph to find the slope of the two lines.