How do you find an equation of the tangent line

persepsi1ea

persepsi1ea

Answered question

2022-02-12

How do you find an equation of the tangent line to the graph of y=g(x) at x=5 if g(5)=-4 and g'(5)=3?

Answer & Explanation

Nathalie Frazier

Nathalie Frazier

Beginner2022-02-13Added 15 answers

Basically the slope m of the tangent line is g'(5)=3 and the point of tangence is going to be x=5, y=g(5)=-4. So, using the relationship:
yy0=m(xx0)
you get:
y+4=3(x-5)
y=3x-19
which is the equation of the tangent line.

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