eXmag said:Homework Statement
If the graphs of A1x + B1y = C1 and A2x + B2y = C2 are perpendicular, express the following in terms of A2 and B2.
A1/B1= ?
Homework Equations
Negative reciprocal
The Attempt at a Solution
I thought that by expressing A2 and B2 with A1/B1, it would just be the negative reciprocal if its perpendicular so it would be -B2/A2 which is incorrect.
A perpendicular graph is a type of graph where two lines intersect at a right angle, forming a 90 degree angle. One line is called the horizontal axis and the other is called the vertical axis. This type of graph is commonly used to represent linear equations and their solutions.
To plot perpendicular lines on a graph, you first need to identify the coordinates of the point where the two lines will intersect. This can be done by solving the equations of the two lines simultaneously. Then, plot the points on the graph and draw the lines connecting them. Make sure that the lines intersect at a 90 degree angle.
The slopes of perpendicular lines are negative reciprocals of each other. This means that if one line has a slope of m, the other line will have a slope of -1/m. This relationship is important when identifying perpendicular lines on a graph.
No, perpendicular lines cannot have the same slope. As mentioned earlier, the slopes of perpendicular lines are negative reciprocals of each other. Therefore, if two lines have the same slope, they will be parallel to each other and not perpendicular.
Perpendicular lines have many real-life applications, such as in architecture, engineering, and surveying. In architecture, perpendicular lines are used to create right angles and ensure that buildings are built accurately. In engineering, they are used to design structures such as bridges and roads. In surveying, perpendicular lines are used to measure and mark boundaries of land.