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What is the slope of the coordinates -3 4 4 -4?
The slope for a line between two points is (difference of y-coordinates) divided by (difference of x-coordinates). That is, (y2-y1)/(x2-x1). It doesn't matter in what order you take the points.
When graphing the points can your tell whether or not they are collinear?
Yes. Calculate the ratio of the difference in y-coordinates and the difference in x-coordinates between pairs of points. If the ratio is the same, the points are collinear. If not, they are not. The only exception is if all the x-coordinates are he same and the ratio is not defined. In this case the points are also collinear - all on a vertical line.
Run is the difference in coordinates?
Rise is the difference between two points along the vertical Y axis. Run is the difference along the X axis. So, for the points (1,3) and (4,8), run is 3 and rise is 5.
What is the slope of the line that contains the points (-1 2) and (3 3)?
Points: (-1, 2) and (3, 3) Slope: 1/4
What is the distance between the points -1 1 and 1 -1?
The distance between the points can be calculated by using the difference in the x coordinates, the difference in the y coordinates and Pythagoras. distance = sqrt((difference_in_x_coords)2 + difference_in_y_coords)2) So for the points (-1, 1) and (1, -1) the distance between them is: sqrt((-1 - 1)2 + (1 - -1)2) =sqrt(22 + 22) =sqrt(4 + 4) = sqrt(8) ~= 2.83
