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Chapter 2: Q. 62 (page 185)

Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.

The line tangent to the graph of y=4x+3 at the point(-2,-5)

Short Answer

Expert verified

The equation of tangent line isy=-5x-15

Step by step solution

01

Step 1. Given information

Given functiony=4x+3and the point(-2,-5)

02

Calculate the derivative at the point

Calculating, we get

y=4x+3y'(-2,-5)=4(-2)+3y'(-2,-5)=-5

03

Use the point slope form to get the equation

Calculating, we get

y+5=-5(x+2)y+5=-5x-10y=-5x-15

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