Find an equation for the line tangent to the graph of 3x + 2 f(x)=2x-1 at the point P(1, fƒ(1)). 2 y = 7x+2 3 y = 7x+12 4. 7x - y = 2 5. x-7y + 12 = 0 6. y +7x = 12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.2: Writing Equations In Standard And Point-slope Forms
Problem 3BGP
Question
100%
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Find an equation for the line tangent to the graph of
3x + 2
2x - 1
at the point P(1, ƒ(1)).
f(x)=
1 x + 7y = 2
2 y = 7x+2
3. y = 7x+12
4 7x - y = 2
5. x-7y + 12 = 0
6 y+7x = 12
Transcribed Image Text:Find an equation for the line tangent to the graph of 3x + 2 2x - 1 at the point P(1, ƒ(1)). f(x)= 1 x + 7y = 2 2 y = 7x+2 3. y = 7x+12 4 7x - y = 2 5. x-7y + 12 = 0 6 y+7x = 12
Expert Solution
Step 1

f(x)=3x+22x-1point(1,f(1))f(1)=3+22-1=5point is  P(1,5)eqation of tangent line is  y=mx+c where m is slope

 

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