Find the slope of the line through each pair of points.
(19, -1), (19, -19)
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (19, -1) and (19, -19). Let's substitute these values into the formula:
slope = (-19 - (-1)) / (19 - 19)
= (-19 + 1) / 0
Since the denominator is 0, the slope is undefined. This is because the line passing through these two points is a vertical line, and vertical lines have undefined slopes.
To find the slope of the line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points:
Point 1: (x1, y1) = (19, -1)
Point 2: (x2, y2) = (19, -19)
Now we can substitute these values into the slope formula:
slope = (-19 - (-1)) / (19 - 19)
Simplifying further:
slope = (-19 + 1) / 0
Since we have a division by zero in the denominator, the slope is undefined. This means that the line passing through these two points is vertical and has no slope.
To find the slope of the line passing through the points (19, -1) and (19, -19), you can use the slope formula, which states that the slope (m) is equal to the change in y-coordinates divided by the change in x-coordinates.
In this case, the x-coordinate does not change since both points have the same x-value of 19.
So, the change in x-coordinates is 0.
Next, you can find the change in y-coordinates by subtracting the y-coordinate of one point from the y-coordinate of the other point.
-19 - (-1) = -19 + 1 = -18.
Therefore, the change in y-coordinates is -18.
Now you can calculate the slope:
m = change in y-coordinates / change in x-coordinates
m = (-18) / (0)
Since division by zero is undefined, the slope of the line passing through the points (19, -1) and (19, -19) is undefined.
Find the slope of the line through each pair of points.
(20, 12), (-16, -20)
To find the slope of the line passing through the points (20, 12) and (-16, -20), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given values:
slope = (-20 - 12) / (-16 - 20)
= -32 / -36
= 8/9
Therefore, the slope of the line passing through the points (20, 12) and (-16, -20) is 8/9.