Using the Slope Equation Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Last updated at May 23, 2019 by Teachoo. it is denoted by. s = ut + ½ at 2. Distance=Initial Velocity × Time + 1/2acceleration × time 2.

The shapes of the position versus time graphs for these two basic types of motion – constant velocity motion and accelerated motion (i.e., changing velocity) – reveal an important principle. The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object.

The position-time graph (x-t) is the same as the displacement-time graph. This graph will tell you the exact change in position of a body.

The principle is that the slope of the line on a position-time graph is equal to the velocity of the object. If the object is moving with a velocity of +4 m/s, then the slope of the line will be +4 m/s. If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s.

The slope of the position-time graph gives the speed of the object. Slope is given as. By definition, speed is given as distance divided by time. Thus, slope of the position-time graph is speed of the object.

What does the slope represent on a position graph? The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

To calculate percent slope, divide the difference between the elevations of two points by the distance between them, then multiply the quotient by 100. The difference in elevation between points is called the rise. The distance between the points is called the run. Thus, percent slope equals (rise / run) x 100.

There are three steps in calculating the slope of a straight line when you are not given its equation.

1. Step One: Identify two points on the line.
2. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
3. Step Three: Use the slope equation to calculate slope.

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.

Slopes come in 4 different types: negative, positive, zero, and undefined. as x increases.

If the line is sloping upward from left to right, so the slope is positive (+). If the line is sloping downward from left to right, so the slope is negative (-). In our pizza example, a positive slope tells us that as the number of toppings we order (x) increases, the total cost of the pizza (y) also increases.

If the slope is negative you can plot your next point by going down and right OR up and left. f the slope is positive you can plot your next point by going up and right OR down and left.

The steepness of a hill is called a slope. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. …

Since we did not have a change in the x values, the denominator of our slope became 0. This means that we have an undefined slope. If you were to graph the line, it would be a vertical line, as shown above. The slope of the line is undefined.

A zero slope means there is no change in the y -coordinates as the x -coordinates change, so this is a horizontal line.