How To Find The Equation of a Secant Line

This calculus video tutorial explains how to find the equation of a secant line that intersects the curve at two points.

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Derivatives - Fast Review:

Equation of the Tangent Line:

Derivatives - Horizontal Tangent Line:

The Equation of The Normal Line:

The Equation of The Secant Line:

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Average and Instantaneous Velocity:

Instantaneous Rate of Change:

Derivatives of Rational Functions:

Derivatives of Radical Functions:

Derivatives of Fractions:

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Derivatives - Higher Order:

Simplifying Derivatives:

Derivatives - The Product Rule:

Derivatives - The Quotient Rule:

Derivatives - The Chain Rule:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[Somalidoc]

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[sanya]

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[fusionrage]

For anyone watching later on. If you don’t want to use point slope to find b, then just plug it into the y = mx + b. {Choose any coordinate (preferably a given one) and plug it in} Example: (2, 0) —>
y = mx + b —>

0 = m(2) + b .... since we already solved our slope, then replace m with the slope ( in this case 1) —>

0 = 1(2) + b —> (simply)

0 = 2 + b —> (subtract both sides to get b alone) —>

-2 = b ( I hope this also helps for others looking for another method.... it looks like a lot of steps, but I showed every part to hopefully make it digestible)

[emily-xjxv]

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[pushies]

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[georgesadler]

Professor Organic Chemistry Tutor, thank you for showing me how to compute the Equation of a Secant Line in Calculus. This is the first time that I can remember a Tutor/Teacher showing me this classic computation in Mathematics.

[peleliona]

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[Plasma_King]

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[cataldoareno]

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[lightningshadow]

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[lightningshadow]

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[tiegomotswedi]

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[我喜歡凤龍]

Hope everyone have a happy new year and never failed anymore

[chriswilliams]

If there were no x-intercepts would you just plug the secant x values for both into the given function?

[PaulaCortesHernandez]

Can you choose any coordinate to be x2, y2, =? Like could P(-1, -3) been x2, y2?

[trinitydyer]

so could we use this same method for a f(x) equation?

[abshariadam]

Without the m(slope), you can find the equation using this equation (x-x1)/(x2-x1) = (y-y1)/(y2-y1)