Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical (8,2) and (9,6)
slope is (6-2)/(9-8) = 4
I'm sure you can answer the other questions. If not, plot the points and draw the line.
To find the slope of the line passing through the points (8,2) and (9,6), you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the given values, we get:
m = (6 - 2) / (9 - 8)
Simplifying further:
m = 4 / 1
Therefore, the slope of the line is 4.
To determine whether the line through the points rises, falls, is horizontal, or vertical, we compare the y-coordinates of the two points. Since the y-coordinate of the second point (9,6) is greater than the y-coordinate of the first point (8,2), the line rises from left to right.
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Given the points (8,2) and (9,6), we can determine the slope as follows:
Change in y-coordinates = 6 - 2 = 4
Change in x-coordinates = 9 - 8 = 1
Therefore, the slope is 4/1, which simplifies to 4.
Since the slope is positive (a positive numerator), the line rises as we move from left to right. Thus, the line through the points (8,2) and (9,6) is a rising line.