   Chapter 7.7, Problem 6SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 3-6, find an equation of the line that passes through the points. Then sketch the line.(-4, -2), (2, -3.5)

To determine

To calculate: The equation of the line that passes through the given points (4,2),(2,3.5).

Explanation

Given Information:

Two points are given (4,2),(2,3.5).

Formula used:

The standard form of the line equation

y=mx+c

Where m is slope and c is intercept of y-axis.

Calculation:

Consider the provided information:

The standard form of the line equation,

y=mx+c

Substitute first point (x,y)=(4,2) and get one equation between m and c.

2=4x+c …… (1)

Now, substitute second (x,y)=(2,3.5) point and get one equation between m and c

3.5=2x+c …… (2)

Now, solve the equation,

Multiply the equation (2) by 2,

7=4x+2c2=4x+c9=3c

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