### Home > PCT > Chapter Ch9 > Lesson 9.2.2 > Problem 9-82

9-82.

Use your slopes from problem 9-81 to write the equation of the line which is tangent to each of the functions at the point when *x* = 2. Use point-slope form. Homework Help ✎

From 9-81, *m* = 8,*f*(2) = (2)2² = 8

Equation of line: *y* − 8 = 8(*x* − 2)

From 9-81, *m* = 0.217, *f*(2) = log (2) = 0.301

Equation of line: *y* − 0.301 = 0.217(*x* − 2) *y* = 0.217(*x* − 2) + 0.301

From 9-81, *m* = 9.888, *y* − 9 = 9.888(*x* − 2)

Equation of line: *y* = 9.888(*x* − 2) + 9

From 9-81, *m* = −0.909*f*(2) = cos(2) = −0.416

Equation of line: *y* − (−0.416) = −0.909(*x* − 2)*y* = −0.909(*x* − 2) − 0.416

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