The points of data are plotted: point A is at (4,-3) and point B is 5 units in the positive y direction. How would you describe the slope of this line? Is it A undefined slope B zero slope C negative slope D positive slope?
To determine the slope of the line, we need at least two points. Currently, we only have one point, which is point A at (4, -3).
However, we have information about point B, which is 5 units in the positive y direction. This means that point B must have the same x-coordinate as point A (4) but a y-coordinate that is 5 units greater. Thus, point B is at (4, 2).
Now, we can calculate the slope of the line using the formula:
slope = (change in y) / (change in x)
The change in y from point A to point B is 2 - (-3) = 5.
The change in x from point A to point B is 4 - 4 = 0.
Since there is no change in x, the denominator is 0. Division by 0 is undefined.
Therefore, the slope of the line passing through points A and B is undefined (option A).
To determine the slope of the line passing through point A(4, -3) and point B, we need to calculate the change in y-coordinates divided by the change in x-coordinates.
Given that point B is 5 units in the positive y direction from point A, the change in y-coordinates is 5. As the change in x-coordinates is 0 (since point B lies on the same vertical line as point A), we have a denominator of 0 in the slope formula.
A line with a denominator of 0 has an undefined slope.
Therefore, the slope of this line is A) undefined slope.
To determine the slope of a line, we need two points on the line. In this case, we have point A at (4, -3) and point B, which is 5 units in the positive y direction.
To calculate the slope of the line, we use the formula:
slope = (change in y) / (change in x)
Since point B is 5 units in the positive y direction, but there is no corresponding change in x, we would have a 0 change in x.
Therefore, the slope of the line is undefined because division by 0 is undefined. Consequently, the answer is A) undefined slope.