Write the equation of a perpendicular line using point slope form

👉 Learn how to write the equation of a line that is perpendicular to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can write the equation of a line: the point-slope form, the slope-intercept form, the standard form, etc.

When given a point (x, y) through which a line passes and the slope (m) of the line, the equation of the line is given by y - y1 = m(x - x1). For perpendicular lines, the product of their slopes is -1. Thus given the equation of a line and a point through which the line perpendicular to the given line passes, then the slope of the second line is equal to the negative of the reciprocal of the slope of the given line. Having found the slope, we can then use the formula stated above together with the given point to find the required equation.

Organized Videos:
✅Write Linear Equations
✅Write Linear Equations | Learn About
✅Write the Equation of a Line Given Point and Slope
✅Standard Form to Slope Intercept Form
✅Write Linear Equation From Graph
✅Write Linear Equastion From Two Points
✅Write the Equation of a Parallel Line
✅Write the Equation of a Perpendicular Line
✅how to know if the equation is linear or nonlinear
✅Translating Linear Equations

Connect with me:

#WriteLinearEquations #LinearEquations #BrianMcLogan

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[michellestephens]

Great trick finding the slope (perpendicular) when it's in standard form! However, I want to make sure I'm right - when written in the form AX + BY = C - I take A over B and apply the opposite sign (positive or negative). Versus opposite reciprocal when it's in slope intercept form? Thanks so much!! Great teaching....

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[carlosruiz]

How do you find the equation 4x - 7 that passes through the points (5, 8) using point slope form

[zaynbrk]

Passes through and is perpendicular to the line 6x - 3y =5. In that case should I put any point that pops up in my head or the question is wrong .