Parallel line equation

Parallel line equation

In this lesson, we will look at questions related to parallel line equation. We will try to determine parallel 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

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

    find the parallel line equation of the line in the graph

    b)

    determine the equation of the line and find its parallel line equation

    c)

    what is the parallel line equation of a horizontal line

    d)

    Parallel line equation of a vertical line

  • 2.
    The lines 2y - 6x - 4 = 0 and 6y - cx = 0 are parallel. Find "c".
  • 3.
    Determine the equation of a line that is parallel to the line y = 4x - 1, and passes through the point (2, - 4). Answer in slope intercept form and general form.
  • 4.
    Determine the equation of a line that is parallel to the line 3y - 9x - 3 = 0, and has the same x-int as the line 5y - 9x + 20 = 0. 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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