# Tangent line

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What is the y coordinate of the point on the curve y = 2x^2 - 3x at which the slope of the tangent line is the same as that of the secant line between x = 1 and x = 2?

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:10 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/tangent-line-curves-32647

#### Solution Preview

dy/dx = 4x - 3

the secant line b/w x=1 and x=2...

y(x=2) = 8-6 = ...

#### Solution Summary

This shows how to find the point on the curve where the tangent line is the same as the given secant line.

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