Perpendicular Line and Its Properties Graph Calculator

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A
B
C

Slope m1 = -3.00

Slope m2 = 0.33

5
10
-5
-10
5
-5
x
y

Click A or B and drag to move the image.

A function is a correspondence in mathematics, which is the correspondence from a non-empty number set A to a real number set B. Simply put, if A changes with B, then A is a function of B. To be precise, let X be a non-empty set, Y be a non-empty number set, and f be a correspondence rule. If for each x in X, according to the correspondence rule f, there is a unique element y in Y corresponding to it, then the correspondence rule f is called a function on X, denoted as y=f(x), X is called the domain of the function f(x), the set {y|y=f(x), x∈R} is its range (the range is a subset of Y), x is called the independent variable, y is called the dependent variable, and it is customary to say that y is a function of x. The correspondence rule and the domain are two elements of a function.

You can move the graph up-down, left-right if you hold down the "Shift" key and then drag the graph.

Find the slope of the line joining the points (-4, -1) and (2, -5).

A Perpendicular Line and Its Properties Graph Calculator is an online tool that helps users visualize and analyze perpendicular lines on a coordinate plane. It calculates key properties such as slopes, equations, and intersection points.

What Is a Perpendicular Line?

A perpendicular line is a line that intersects another line at a 90-degree angle (right angle).

Why Use a Perpendicular Line Graph Calculator?

  • To verify perpendicularity by checking slopes.
  • To find the equation of a perpendicular line passing through a given point.
  • To graphically represent perpendicular lines on a coordinate plane.
  • To solve geometry and algebra problems involving perpendicularity.

How Does It Work?

  1. Input the equation of a given line (in slope-intercept or standard form).
  2. Enter a point through which the perpendicular line must pass.
  3. The calculator computes the perpendicular slope (negative reciprocal of the given line’s slope).
  4. It finds the equation of the perpendicular line.
  5. The graph displays both lines, showing their intersection and perpendicularity.

When Is It Useful?

  • When solving algebra and coordinate geometry problems.
  • In physics and engineering for force vector analysis.
  • In computer graphics for designing perpendicular structures.
  • For students learning about linear equations and their relationships.