Does the line through the first set of points intersects with the line through the second set of points.

Yes…these lines are not parallel nor perpendicular.
Yes…these lines are not parallel nor perpendicular.

Yes…these lines are parallel.
Yes…these lines are parallel.

No…these lines are parallel.
No…these lines are parallel.

Yes…these lines are perpendicular.
Yes…these lines are perpendicular.

You cannot tell without a graph.
You cannot tell without a graph.

No…these lines are perpendicular.

No…these lines are perpendicular.

To determine if the line through the first set of points intersects with the line through the second set of points, you need to first find the equations of the two lines. Once you have the equations, you can check if they intersect by comparing the slopes.

If the slopes of the lines are different, then the lines will intersect at a single point. If the slopes are the same, the lines will either be parallel or coincide with each other.

If the slopes are negative reciprocals of each other, then the lines are perpendicular and will intersect at a single point.

Without the specific values of the points or the equations of the lines, it is not possible to determine if they intersect, are parallel, or are perpendicular. A graph or more information would be needed to come to a conclusion.

To determine if the line through the first set of points intersects with the line through the second set of points, you need to compare the slopes of the two lines. If the slopes are equal, the lines are parallel and do not intersect. If the slopes are different, the lines are not parallel and will intersect at a point.

To find the slope of a line passing through two points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

Substitute the coordinates of the first set of points into the formula to find the slope of the line passing through them. Then do the same for the second set of points.

After finding the slopes, compare them. If the slopes are equal, the lines are parallel. If the slopes are different, the lines are not parallel. However, this does not necessarily mean they intersect. You also need to determine if the lines are perpendicular. If the product of the slopes is -1, the lines are perpendicular and will intersect.

If the slopes are different and the product is not -1, you cannot determine if the lines intersect or not without further information or a graph.