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 125RE
To determine

To calculate:The equation for the line which has the value of x -intercept as 4 and that of y −intercept as 12 .

Expert Solution

Answer to Problem 125RE

The equation for the line which has the value of x -intercept as 4 and that of y −intercept as 12 is y+3x12=0

Explanation of Solution

Given information:

For a given line the value of x -intercept as 4 and that of y −intercept as 12 .

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)

Slope-intercept equation for a given line which has slope as m and y −intercept as b is:

  y=mx+b

Two-intercept equation for a given line which has x -intercept as a and y −intercept as b is:

  xa+yb=1

Calculation:

Consider thegiven values of x -intercept as 4 and that of y −intercept as 12 .

Then in order to proceed following should be known:

  a=4b=12

Recall the two-intercept equation for a given line which has x -intercept as a and y −intercept as b is:

  xa+yb=1

Putting the values to get:

  x4+y12=13x+y12=13x+y=12y+3x12=0

Hence, the equation for the line which has the value of x -intercept as 4 and that of y −intercept as 12 is y+3x12=0

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