Find the slope of a line given two points on the line, using the formula (y2-y1)/(x2-x1).
Understand that the slope of a line is a measure of its steepness and direction. Slope Practice
Slope is a measure of how steep a line is on a coordinate plane. You can find the slope by comparing the rise (vertical change) to the run (horizontal change). Slope is always written as a ratio, such as 'rise over run' or '3/4'.
Finding Slope on a Coordinate Plane
Slope: The steepness of a line on a coordinate plane, or the ratio of the vertical change to the horizontal change between two points on the line. Coordinate Plane: A two-dimensional plane that is divided into four quadrants and is used to locate points by their x- and y-coordinates. Intercepts: The points at which a line crosses the x-axis and the y-axis of a coordinate plane.
The slope of a line on a coordinate plane is the ratio of the vertical change between two points to the horizontal change between the same two points. The slope of a line can also be found by counting the number of “units” up or down and then counting the number of “units” left or right. The slope of a line can also be used to calculate the distance between two points on the coordinate plane.
Did you know?
What is the definition of a slope?
Work together in pairs: What is the slope of the line with the given points (2,4) and (4,2)?
Can you explain what slope means and how you would find the slope of a line on a coordinate plane?
Work together in pairs: What is the formula for finding the slope of a line when given two points on a coordinate plane?
Brain break: Draw a clown riding a unicycle while juggling pizza slices.
What is slope?
- The length of a line
- The steepness of a line
- The width of a line
What is the formula for finding slope?
- (y2 - y1) / (x2 - x1)
- (x + y = 0)
- (x2 - x1) / (y2 - y1)
What does it mean when the slope is negative?
- Line goes down from left to right.
- Line goes up from left to right.