![]() 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. ![]()
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