-and-(7-9)-slope.jpeg "(-5 3) And (7 9) Slope")
Finding the Slope of Two Points: (-5, 3) and (7, 9)
In this article, we will learn how to find the slope of a line that passes through two points: (-5, 3) and (7, 9).
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. Slope is often denoted by the letter m and is calculated using the following formula:
Slope Formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
Finding the Slope of (-5, 3) and (7, 9)
Now, let's apply the slope formula to find the slope of the line that passes through the points (-5, 3) and (7, 9).
Step 1: Identify the Coordinates
Let's identify the coordinates of the two points:
(x1, y1) = (-5, 3) (x2, y2) = (7, 9)
Step 2: Plug in the Coordinates
Now, plug in the coordinates into the slope formula:
m = (y2 - y1) / (x2 - x1) = (9 - 3) / (7 - (-5)) = (6) / (12) = 1/2
Step 3: Simplify the Slope
The slope is 1/2, which can be simplified to 0.5.
Conclusion
The slope of the line that passes through the points (-5, 3) and (7, 9) is 0.5. This means that for every 1 unit of horizontal change, the line rises 0.5 units.
