BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 123RE
To determine

To calculate:The equation for the line with give points (1,6) and (2,4) .

Expert Solution

Answer to Problem 123RE

The equation for the line with give points (1,6) and (2,4) is 3y2x+16=0

Explanation of Solution

Given information:

Two points P1=(1,6) and P2=(2,4)

Formula used:

Slope m of the line passing through two points in general say P1=(x1,y1) and P2=(x2,y2) is:

  m=y2y1x2x1

Point-slope equation for a given line passing along point P1=(x1,y1) is:

  yy1=m(xx1)

Calculation:

Consider thetwo given points P1=(1,6) and P2=(2,4)

Then in order to proceed following should be known:

  x1=1y1=6x2=2y2=4

Recall slope m of the line passing through two points in general say P1=(x1,y1) and P2=(x2,y2) is:

  m=y2y1x2x1

Therefore,

  m=4(6)2(1)m=23

Now, recall the point-slope equation for a given line passing along point P1=(x1,y1) is:

  yy1=m(xx1)

Putting the values to get:

  y(6)=23(x(1))y+6=23(x+1)3(y+6)=2(x+1)3y+18=2x+23y2x+16=0

Hence, the equation for the line with give points (1,6) and (2,4) is 3y2x+16=0

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