Both of these tables represent linear graphs:%0D%0A%0D%0A%0D%0A%0D%0ADoes the line through the first set of points intersect with the line through the second set of points?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AYes…these lines are parallel%0D%0AYes…these lines are parallel%0D%0A%0D%0AYou cannot tell without a graph%0D%0AYou cannot tell without a graph%0D%0A%0D%0ANo…these lines are perpendicular%0D%0ANo…these lines are perpendicular%0D%0A%0D%0ANo…these lines are parallel%0D%0ANo…these lines are parallel%0D%0A%0D%0AYes…these lines are perpendicular%0D%0AYes…these lines are perpendicular%0D%0A%0D%0AYes…these lines are not parallel nor perpendicular
You cannot tell without a graph
Based on the given options, it is not possible to determine whether the line through the first set of points intersects with the line through the second set of points without a graph.
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 will never intersect. If the slopes are different but the product of the slopes is -1, the lines are perpendicular and will intersect at a right angle. If neither of these conditions is met, you cannot determine if the lines intersect without looking at a graph or obtaining more information.
In this case, you can see that both options "No... these lines are parallel" and "No... these lines are perpendicular" are selected. This is contradictory and cannot be true. Therefore, the correct answer is "You cannot tell without a graph" since the tables representing the linear graphs are not provided.