-(2-0)-slope.jpeg "(0 3) (2 0) Slope")
Understanding Slope: (0, 3) and (2, 0)
In mathematics, slope is a fundamental concept in algebra and geometry. It represents the steepness or incline of a line. In this article, we will explore the concept of slope using two specific points, (0, 3) and (2, 0).
What is Slope?
Slope is a measure of how steep a line is. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. The slope can be positive, negative, zero, or undefined.
Calculating Slope
To calculate the slope, we can use the following formula:
Slope (m) = Rise (Δy) / Run (Δx)
where Δy is the vertical change and Δx is the horizontal change.
Slope of a Line Passing Through (0, 3) and (2, 0)
Let's calculate the slope of a line passing through the points (0, 3) and (2, 0).
Step 1: Identify the Points
We have two points, (0, 3) and (2, 0).
Step 2: Calculate the Rise (Δy)
The rise (Δy) is the difference in the y-coordinates of the two points.
Δy = y2 - y1 = 0 - 3 = -3
Step 3: Calculate the Run (Δx)
The run (Δx) is the difference in the x-coordinates of the two points.
Δx = x2 - x1 = 2 - 0 = 2
Step 4: Calculate the Slope
Now, we can calculate the slope using the formula:
m = Δy / Δx = -3 / 2 = -1.5
The slope of the line passing through the points (0, 3) and (2, 0) is -1.5.
Interpretation of Slope
A slope of -1.5 means that for every 1 unit of horizontal change, the line moves 1.5 units downward. A negative slope indicates that the line slopes downward from left to right.
Conclusion
In this article, we have learned how to calculate the slope of a line using two specific points, (0, 3) and (2, 0). We have also understood the concept of slope and its interpretation. The slope of -1.5 indicates that the line has a downward inclination from left to right.
