Perpendicular line equation

Perpendicular line equation

In this lesson, we will look at questions related to perpendicular line equation. We will try to determine perpendicular line equation with different given information such as, graphs, equations of other lines and points.
Basic Concepts: Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}, Slope intercept form: y = mx + b, General form: Ax + By + C = 0, Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
Related Concepts: Parallel and perpendicular lines in linear functions, System of linear equations, Graphing linear inequalities in two variables, Graphing systems of linear inequalities

Lessons

  • Introduction
    a)
    How to find the equation of a perpendicular line?

  • 1.
    Given the graph of linear equation, find the slope of perpendicular line equation.
    a)

    Find the equation of line in the graph, and then determine its perpendicular line equation

    b)

    Perpendicular line equation of a given line

    c)

    Perpendicular line equation of a horizontal line

    d)

    Perpendicular line equation of a vertical line

  • 2.
    The lines 3y + 7x = 3 and cy - 2x - 1 = 0 are perpendicular. Find "c"
  • 3.
    Determine the equation of a line that is perpendicular to the line 3y + 5x = 8, and passes through the origin. Answer in slope intercept form and general form.
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4.
Linear Equations
4.1
Introduction to linear equations
4.2
Introduction to nonlinear equations
4.3
Special case of linear equations: Horizontal lines
4.4
Special case of linear equations: Vertical lines
4.5
Parallel line equation
4.6
Perpendicular line equation
4.7
Combination of both parallel and perpendicular line equations
4.8
Applications of linear equations
AU Maths Methods
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