The term "perpendicular line at origin" refers to a line that intersects the origin (0,0) on a graph at a 90 degree angle. This means that the line forms a right angle with the x and y axes.
To graph a perpendicular line at origin, first plot the point (0,0) on the graph. Then, determine the slope of the line perpendicular to the x-axis (which is the negative reciprocal of the slope of the original line). Finally, use this slope and the point (0,0) to plot the rest of the line.
No, a perpendicular line at origin does not always have a slope of 0. The slope of a perpendicular line at origin can vary depending on the slope of the original line. The only time a perpendicular line at origin will have a slope of 0 is if the original line is horizontal and has a slope of 0.
To determine if two lines are perpendicular at the origin, you can use the slope formula. If the slopes of the two lines are negative reciprocals of each other, then they are perpendicular at the origin. Additionally, if the product of their slopes is -1, then they are perpendicular at the origin.
Yes, any line can have a perpendicular line at origin. This is because the origin (0,0) is a point that falls on every line. However, not all lines have a perpendicular line at origin that is distinct from the original line. For example, a horizontal line does not have a distinct perpendicular line at origin because it is already perpendicular to the x-axis.